1 DAVANGERE UNIVERSITY

FACULTY PROFILE

Dr. Prakasha D. G. Associate Professor Department of Mathematics Qualification : Ph. D. Areas of Specialization : Differential Geometry of Manifolds Fractional Calculus E mail : prakashadg@gmail.com prakashadg@davangereuniversity.ac.in Contact Number : +91 8095907689

Vision

To establish an international reputation as a centre of excellence in mathematics for research and teaching.

To attract motivated and talented students to the master’s, doctoral and post doctoral programmes of the department.

To provide a stimulating teaching environment for the post graduate students of the Department.

TO pursue collaborative programmes with highly reputed national and international institutions.

Educational Qualifications

Sl. No. Degree Specialization/

Subjects University

Year of Award/ Passing

1 Ph.D. Differential Geometry of

Manifolds

Kuvempu University Under the guidance of

Professor Dr. C. S. BAGEWADI

2008

2 PG M. Sc. Mathematics Kuvempu University May 2005

3 UG

B. Sc. Electronics

Mathematics Computer Science

Sahyadri Science College, Shimoga,

Affiliated to Kuvempu University

May 2003

Professional Details (Academic/Research Experience)

Sl. No. Designation Institution/University UG/PG From To

1 Lecturer in

Mathematics,

P.E.S. Institute of Technology & Management,

UG August-2008 February-2009

2 Assistant Professor

Karnatak University, Dharwad, Karnataka,

India PG March-2009 May-2019

3 Associate Professor

Davangere University, Shivagangothri,

Davangere PG May-2019 Till Date

2 DAVANGERE UNIVERSITY

Areas of Research Interest:

1. Contact Manifolds and Lorentzian Manifolds

2. Applications to the General Theory of Relativity

3. Solutions to Fractional Differential Equations

4. Applicable Mathematics

5. Numerical Analysis

Academic Responsibilities:

1. Member, Editorial Board, Scientific Journal International (SJI), U.S.A.

2. Associate Editor, Journal of Statistics and Mathematics, INDIA.

3. Member, Advisory Board, Journal of Progressive Science, INDIA.

4. Life Member, Bharata Ganita Parisad, Lucknow, INDIA.

5. Life Member, Culcutta Mathematical Society, Kolkata, INDIA.

6. Life Member, Tensor Society of India, Lucknow, INDIA.

7. Life Member, Indian Society of Industrial & Applied Mathematics, INDIA.

8. Member, International Egyptian Engineering Mathematical Society,

9. Member, World Academy of Science, Engineering and Technology.

10. Member, International Association of Engineers.

List of Referee/Reviewer for Journals/Thesis

1. Referee, Ph. D. thesis – Gulbarga University, Kalaburagi

2. Referee, Ph. D. thesis – Kuvempu University, Shimoga.

3. Reviewer, American Mathematical Society’s Mathematical Reviews, U.S.A – for 20 Research Papers

Reviewer for Research Papers for Various Journals:

4. Analele Universităţii din Oradea - Fascicola Matematică, Romania.

5. Asian Journal of Mathematics and Computer Research, India.

6. Thai Journal of Mathematics (Scopus), Thailand.

7. Mathematica Slovaca, Slovakia.

8. Journal of Tensor Society of India, India.

3 DAVANGERE UNIVERSITY

9. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, India (Springer), India.

10. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, Turkey.

11. New Trends in Mathematical Sciences, Turkey.

12. Philippians Scientist, Philippians.

13. International Journal of Geometric Methods in Modern Physics (Springer), U.S.A.

14. Mathematica Moravica, Russia.

15. Afrika Mathematica (Springer), South Africa.

16. International Journal of Physical Sciences, India.

17. Tbilisi Journal of Mathematics, Georgia.

18. Annales Mathematicae Silesianae (De Gruyter), Poland.

19. British Journal of Mathematics and Computer Science, U.K.

20. International Journal of Mathematics and Computer Research, India.

21. World Academy of Scientific, Engineering and Technology, Egypt.

22. Journal of Advanced Research in Pure Mathematics, India.

23. Malaya Journal of Mathematika, Malaysia.

24. Journal of the Nigerian Mathematical Society (Elsevier), Nigeria.

25. Bulletin of Mathematical Analysis and Applications, Republic of Kosova.

26. Bulletin of Calcutta Mathematical Society, India.

27. Far East Journal of Mathematical Sciences, India.

28. Iranian Journal of Science and Technology Transactions A: Science, Iran

29. Analele Universităţii din Oradea – Fascicola Matematică, Romania

30. Facta Universitatis, Series: Mathematics and Informatics, Serbia.

31. Ilirias Journal of Mathematics, Romania

32. Mediterranean Journal of Mathematics, Switzerland

33. National Academy Science Letters, India.

34. Novi Sad Journal of Mathematics, Serbia.

35. Advances in Difference Equations

4 DAVANGERE UNIVERSITY

36. Open Science Journal

37. Sarajevo Journal of Mathematics, Bosnia.

38. Nonlinear Dynamics

39. Applied Mathematics and Nonlinear Sciences.

40. Mathematical methods in the Applied Sciences.

41. Waves in Random and Complex Media.

42. Asian Journal of Mathematics.

43. International Journal of Mathematical, Engineering and Management Sciences.

44. Journal of Vector Borne Diseases.

45. Journal of the Chungcheong Mathematical Society.

46. Communications in Mathematics, Czech Republic.

47. Journal Advanced Research in Pure Mathematics

48. Journal of Geometry, Springer-Verlag.

Book Published / Book Chapters Published:

1.

Title : -HATM to solve fractional differential equations

Authors : P. Veeresha and D. G. Prakasha

Publisher : Lambert Academic Publishing Year: 2019 ISBN: 978-613-9-45671-0

Administrative Responsibilities:

1. Coordinator/Codifier for P.G. Science Central Valuation for the P. G. Examinations of June/July – 2011 at Karnatak University, Dharwad.

2. Course Coordinator for the NET/SLET coaching classes in Mathematics during February – 2012 to March – 2012 at Karnatak University, Dharwad.

3. Post Graduate Programme (PGP) Coordinator for conducting P.G. Mathematics Examinations of December - 2012 at Karnatak University, Dharwad.

4. Member for Board of Studies (BOS) in PG Mathematics during the Academic years 2011 – 2012 & 2012-2013 at Karnatak University, Dharwad.

5. Coordinator, Three Days Faculty Development Programme for Mathematics Faculty of Undergraduate Colleges during on 18 - 20 March, 2012 organized by Department of Mathematics, Karnatak university, Dharwad

6. Member for Board of Appointment (BOAE) of Examiners for the April/May-2013 PG Mathematics Examinations at Karnatak University, Dharwad.

7. Chairman for Board of Examiners (BOE) in Mathematics for 7 times during the Academic years 2011-12 to 2014-15 at Karnatak University, Dharwad.

5 DAVANGERE UNIVERSITY

8. Member for Board of Studies (BOS) in UG & PG Mathematics during the academic year 2015-16 & 2016-17 at Davangere University, Davangere.

9. Organizing Secretary for the National Conference on Geometry, Topology and their Applications (NCGTA-2016) held during 3-4 August, 2016 at Karnatak University, Dharwad (Sponsored by NBHM, DAE, Mumbai).

10. Post Graduate Programme (PGP) Coordinator for conducting P.G. Mathematics Examinations of December - 2018 at Karnatak University, Dharwad.

Research Projects:

Sl. No.

Title of the Project Funding Agency Project Budget Period Status

1.

On symmetric and recurrent type of Riemannian and semi-Riemannian

manifolds

University Grants Commission,

New Delhi Rs. 8,35,800/-

01st Feb-2011 to

31st Jan-2014 Completed

Research Publications:

International Journals/ National Journals

1. P. Veeresha, D. G. Prakasha, D. Kumar, An efficient technique for nonlinear time-fractional Klein-Fock-Gordon equation, Applied Mathematics and Computation, 364 (2020), DOI: 10.1016/j.amc.2019.124637.

2. P. Veeresha, D. G. Prakasha, H. M. Baskonus, Solution for fractional forced KdV equation using fractional natural decomposition method, AIMS Mathematics, (2019).

3. P. Veeresha, D. G. Prakasha, D. Baleanu, Analysis of fractional Swift-Hohenberg equation using a novel computational technique, Mathematical Methods in the Applied Sciences, (2019) DOI: 10.1002/mma.6022.

4. P. Veeresha, D. G. Prakasha, H. M. Baskonus, W. Gao, G. Yel, A powerful approach for

fractional Drinfeld–Sokolov–Wilson equation with Mittag-Leffler law, Alexandria

Engineering Journal, (2019) 1-11, DOI: 10.1016/j.aej.2019.11.002.

5. D. G. Prakasha, P. Veeresha, J. Singh, Fractional Approach for Equation Describing the

Water Transport in Unsaturated Porous Media with Mittag-Leffler Kernel, Frontiers in

Physics, 7 (2019), DOI: 10.3389/fphy.2019.00193

6. P. Veeresha, D. G. Prakasha, H. M. Baskonus, An efficient technique for a fractional-order

system of equations describing the unsteady flow of a polytropic gas, Pramana – Journal of

Physics, 93 (75) (2019), DOI: 10.1007/s12043-019-1829-9.

7. P. Veeresha, D. G. Prakasha, M. A. Qurashi, D. Baleanu, A reliable technique for fractional

modified Boussinesq and approximate long wave equations, Advances in Difference

Equations, 253 (2019), DOI: 10.1186/s13662-019-2185-2.

8. P. Veeresha, D. G. Prakasha, N. Magesh, M. M. Nandeppanavar, A. J. Christopher,

Numerical simulation for fractional Jaulent–Miodek equation associated with energy-

dependent Schrödinger potential using two novel techniques, Waves Random Complex

Media, (2019), DOI: 10.1080/17455030.2019.1651461.

6 DAVANGERE UNIVERSITY

9. P. Veeresha, D. G. Prakasha, A novel technique for -dimensional time-fractional coupled Burgers equations, Mathematica and Computers in Simulation, 166 (2019) 324-345.

10. P. Veeresha, D. G. Prakasha, Solution for fractional Zakharov–Kuznetsov equations by using two reliable techniques, Chinese Journal of Physics, 60 (2019) 313-330.

11. D. G. Prakasha, P. Veeresha, H. M. Baskonus, Analysis of the dynamics of hepatitis E virus using the Atangana-Baleanu fractional derivative, The European Physical Journal Plus, 134 (241) (2019), DOI: 10.1140/epjp/i2019-12590-5.

12. D. G. Prakasha, P. Veeresha, Para-Sasakian manifolds and -Ricci solitons, AfrikaMatematika, (2019), DOI: 10.1007/s13370-019-00698-9.

13. A. Prakash, P. Veeresha, D. G. Prakasha, M. Goyal, A new efficient technique for solving fractional coupled Navier–Stokes equations using -homotopy analysis transform method, Pramana – Journal of Physics, 93 (6) (2019), DOI: 10.1007/s12043-019-1763-x.

14. P. Veeresha, D. G. Prakasha, H. M. Baskonus, Solving smoking epidemic model of fractional order using a modified homotopy analysis transform method, Mathematical Science, 13 (2) (2019) 115–128.

15. D. G. Prakasha, P. Veeresha, M. S. Rawashdeh, Numerical solution for ‐dimensional time‐fractional coupled Burger equations using fractional natural decomposition method, Mathematical Methods in the Applied Sciences, 42 (10) (2019) 3409-3427.

16. D. G. Prakasha, P. Veeresha, H. M. Baskonus, Two novel computational techniques for fractional Gardner and Cahn‐Hilliard equations, Computational and Mathematical Methods, 1 (2) (2019), DOI: 10.1002/cmm4.1021.

17. D. G. Prakasha, P. Veeresha, Venkatesha, The Fischer–Marsden conjecture on non-Kenmotsu -almost Kenmotsu manifolds, Journal of Geometry, 110 (1) (2019), DOI: 10.1007/s00022-018-0457-8.

18. D. G. Prakasha, P. Veeresha, H. M. Baskonus, Residual power series method for fractional Swift-Hohenberg equation, Fractal and Fractional 3 (1) (2019), DOI: 10.3390/fractalfract3010009.

19. P. Veeresha, D. G. Prakasha, D. Baleanu, An efficient numerical technique for the nonlinear fractional Kolmogorov-Petrovskii-Piskunov equation, Mathematics 7 (3) (2019), DOI: 10.3390/math7030265.

20. A. Prakash, D. G. Prakasha, P. Veeresha, A reliable algorithm for time-fractional Navier-Stokes equations via Laplace transform, Nonlinear Engineering, 8 (2019) 695-701.

21. P. Veeresha, D. G. Prakasha, H. M. Baskonus, New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives, Chaos: An Interdisciplinary Journal of Nonlinear Science, 29 (013119) (2019), DOI: 10.1063/1.5074099.

22. P. Veeresha, D. G. Prakasha, H. M. Baskonus, Novel simulations to the time‑fractional Fisher’s equation, Mathematical Science, 13 (1) (2019) 33-42.

23. A. Prakash, P. Veeresha, D. G. Prakasha, M. Goyal, A homotopy technique for fractional order multi-dimensional telegraph equation via Laplace transform, The European Physical Journal Plus, 134 (19) (2019), DOI:10.1140/epjp/i2019-12411-y.

24. H. G. Nagaraja, D. L. Kiran, D. G. Prakasha, Da- Homothetic deformation and Ricci solitons in -contact metric manifolds, Konuralp Journal of Mathematics, 7 (1) (2019) 122-127.

25. D. G. Prakasha, B. S. Hadimani, On the Conharmonic Curvature Tensor of Kenmotsu Manifolds With Generalized Tanaka-Webster Connection, Miskolc Mathematical Notes, 19 (1) (2019) 491-503.

26. D. G. Prakasha, B. S. Hadimani, M-projective curvature tensor on a generalized Sasakian-space-form, AnaleleUniversitatii Oradea Fasc. Matematica, 1 (2019) 95-101.

7 DAVANGERE UNIVERSITY

27. T. R. Shivamurthy, D. G. Prakasha, P. Veeresha, Projectivelysemisymmetric and -projectively semisymmetric 3-dimensional LP-Sasakian manifolds, International Journal of Mathematics Trends and Technology 53 (1) (2018) 51- 55.

28. D. G. Prakasha, B. S. Hadimani, On the conharmonic curvature tensor of Kenmotsu manifold with Tanaka-Webster connection, Miskolc Mathematical Notes, 99 (1) (2018) 491–503.

29. D. G. Prakasha, F. O. ZenginVasantChavan, On M-projectivelysemisymmetricLorentzian-Sasakina manifolds, AfrikaMatematika, 28 (2017) 899–908.

30. D. G. Prakasha, L.M. Fernandez, K. K. Mirji, The M-projective curvature tensor field on generalized (k, )-paracontact metric manifolds, Georgian Mathematical Journal, (2017) 1-7, DOI: 10.1515/gmj-2017-0054.

31. D. G. Prakasha T. R. Shivamurthy, On the pseudo-quasi conformal curvature tensor of para- Sasakian manifolds, Electronic Journal of Mathematical Analysis and Applications, 5 (2) (2017) 147-155.

32. S. K. Hui, D. G. Prakasha, VasantChavan, On generalized -recurrent generalized Sasakian-space-forms, Thai Journal of Mathematics, 15 (2) (2017) 323-332.

33. D. G. Prakasha, K. K. Mirji, On the M-projective curvature tensor of a -contact metric manifold, FactaUniversitatis, Series: Mathematics and Informatics, 32 (1) (2017) 117-128.

34. D. G. Prakasha, M. Nagaraja , K. K. Mirji, On M-projectively -symmetric ( )-Kenmotsu manifolds, New Trends in Mathematical Sciences, 4 (4) (2017) 295-305.

35. D. G. Prakasha, M. Nagaraja, Conharmonic Curvature Tensor of ( )-Para Sasakian 3- Manifolds, Aryabhatta Journal of Mathematics and Informatics, 9 (1) (2017) 561-566.

36. M. Nagaraja, D. G. Prakasha, P. Veeresha, On Conformally flat and Weyl -semisymmetric ( )- Sasakian manifolds, International Journal of Mathematics Trends and Technology, 48 (5) (2017)301-304.

37. T. R. Shivamurthy, D. G. Prakasha,VasantChavan, On pseudo-projective curvature tensor with respect to semi-symmetric non-metric connection in a Kenmotsu manifold, Global Journal of Pure and Applied Mathematics, 13 (8) (2017) 4087–4097.

38. D. G. Prakasha, VasantChavan, E-Bochner curvature tensor on generalized Sasakian-space-forms, C. R. Acad. Sci. Paris, Ser. I, 354 (2016) 835-841.

39. D. G. Prakasha, VasantChavan K. K. Mirji, On the W5 -curvature tensor of generalized Sasakian-space-form, Konuralp Journal of Mathematics, 4 (1) (2016) 45-53.

40. D. G. Prakasha, B. S. Hadimani, -Ricci soliton on para-Sasakian manifolds, Journal of Geometry, 108 (2) (2016) 383–392.

41. B. S. Hadimani, D. G. Prakasha, Ricci Soliton on para-Sasakian manifolds, IOSR Journal of Mathematics, 12 (4) (2016) 39-43.

42. D. G. Prakasha, B. S. Hadimani, VasantChavan, Some Properties of M-projective Curvature Tensor on Generalized Sasakian-Space-Forms, International Journal of Mathematics and Statistics Invention, 4 (4) (2016) 38-43.

43. D. G. Prakasha, B. S. Hadimani, Some Class of Sasakian Manifolds with Respect to the Quarter-Symmetric Metric Connection, International Journal of Mathematics and its Applications, 4 (1) (2016) 19-26.

44. D. G. Prakasha, K. K. Mirji, The concircular curvature tensor on contact metric generalized -space forms, International Journal of Mathematics and Computer Research, 4 (5) (2016) 1404-1410.

45. A. Taleshian, D. G. Prakasha, K. Vikas, N. Asghari, On the Conharmonic Curvature Tensor of LP-Sasakian Manifolds, Palestine Journal of Mathematics, 5 (1) (2016) 177-184.

8 DAVANGERE UNIVERSITY

46. D. G. Prakasha, VasantChavan, On -pseudo symmetries of generalized Sasakian-space-forms, International Journal of Pure and Applied Mathematics, 104 (3) (2016) 313-323.

47. D. G. Prakasha, B. S. Hadimani, On Generalized Recurrent para-Kenmostu Manifolds, Global Journal of Pure and Applied Mathematics, 11 (2) (2015) 1049-1059.

48. D. G. Prakasha, A. T. Vanli, C. S. Bagewadi, D. A. Patil, Erratum to the paper Some classes of Kenmotsu manifolds with respect to semi-symmetric metric connection, Gazi University Journal of Science 28 (2) (2015) 209-210.

49. S. K. Hui, D. G. Prakasha, On the C-Bochner curvature tensor of generalized Sasakian-space-forms, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 85 (3) (2015) 401-405.

50. D. G. Prakasha, K. Vikas, On -Recurrent para-Kenmotsu Manifolds, International Journal

of Pure and Engineering Mathematics, 3 (2) (2015) 17-26.

51. D. G. Prakasha, K. Vikas, On Weak symmetries of Kenmotsu Manifolds with respect to quarter symmetric metric connection, AnnalesMathematicae et Informaticae, 45 (2015) 79-90.

52. A. A. Shaikh, D. G. Prakasha, A. Ahmad, On generalized -recurrent LP-Sasakian

manifolds, Journal of Egyptian Mathematical Society, 23 (1) (2015) 161-166.

53. D. G. Prakasha, K. K. Mirji, On -symmetric )(kN paracontactmetric manifolds, Journal

of Mathematics, ID: 728298 (2015).

54. D. G. Prakasha,VasantChavan, On weak symmetries of generalized Sasakian-space-forms, Communications in Mathematics and Applications, 5 (3) (2014) 83-89.

55. D. G. Prakasha, H. G. Nagaraja, G. Somashekhra, On ( )-semi-Riemannian 3-manifolds, Italian Journal of Pure and Applied Mathematics, 32 (2014) 115–124.

56. D. G. Prakasha, K. K. Mirji, On ),( k paracontact metric manifolds, General Mathematics

Notes 25 (2) (2014) 68-77.

57. D. G. Prakasha, S. K. Hui, K. Vikas, On Weakly -Ricci symmetric Kenmotsu Manifolds,

International Journal of Pure and Applied Mathematics, 95 (4) (2014) 515-521.

58. D. G. Prakasha, S. K. Hui, K. K. Mirji, On 3-Dimensional Contact Metric Generalized

),( k Space Forms, International Journal of Mathematics and Mathematical Sciences, ID:

797162 (2014).

59. D. G. Prakasha, H. Venkatesha, Some results on generalized quasi-Einstein manifold, Chinese Journal of Mathematics, ID 563803, (2014).

60. D. G. Prakasha, On extended generalized ϕ-recurrent Sasakian manifolds, Journal of Egyptian Mathematical Society, 21 (1) (2013) 25–31.

61. D. G. Prakasha, A. T. Vanli, C. S. Bagewadi, D. A. Patil, Some classes of Kenmotsu manifolds with respect to semi-symmetric metric connection, ActaMathematicaSinica (English Series), 29 (7) (2013) 1311-1322.

62. D. G. Prakasha, H. G Nagaraja, On quasi-conformally flat and quasi-conformallysemisymmetric generalized Sasakian-space-forms, Cubo-A Mathematical Journal, 15 (3) (2013) 59-70.

63. D. G. Prakasha, On generalized Sasakian space-forms with Weyl-conformal curvature tensor, Lobachevski Journal of Mathematics, 33 (3) (2012) 223-228.

64. D. G. Prakasha, On -symmetric Kenmotsu manifolds with respect to quarter-symmetric metric connection, International Electronic Journal of Geometry, 4 (1) (2011) 88-96.

65. D. A. Patil, C. S. Bagewadi, D. G. Prakasha, On generalized -recurrent para-Sasakian manifolds, Journal of International Academy of Physical Sciences, 15 (1) (2011) 1-10.

9 DAVANGERE UNIVERSITY

66. D. G. Prakasha, A. Taleshian, The structure of some classes of Sasakian manifolds with respect to the quarter symmetric metric connection, International Journal of Open problems in Computer Science and Mathematics, 3 (5) (2010) 1-16.

67. D. G. Prakasha, Torseforming Vector field in a 3-dimesnsional para-Sasakian manifold, Scientific Studies and Research: Series Mathematics and Informatics, 20 (2) (2010) 61-66.

68. D. G. Prakasha, On Ricci -recurrent nLCS)( -manifolds, ActaUniversitatisApulensis, 24

(2010) 109-118.

69. D. G. Prakasha, C. S. Bagewadi, On nearly quasi-Einstein manifolds, Mathematica Pannonia, 21 (2) (2010) 265-273.

70. D. G. Prakasha, B. Prasad, C. S. Bagewadi, On contact metric manifold with )( N ,

Journal of Progressive Science, 1 (2) (2010) 265-273.

71. D. G. Prakasha,AhmetYildiz, On generalized -recurrent Lorentzian -Kenmotsu

manifolds, Communications Faculty of Sciences University of Ankara Series A1, 59 (1)

(2010) 53-62.

72. D. G. Prakasha, On generalized 2W -recurrent nLCS)( -manifolds, Journal of Tensor Society

of India, 4 (2010) 33-40.

73. D. A. Patil, D. G. Prakasha, C. S. Bagewadi, On generalized φ-recurrent Sasakian manifolds,

Bulletin of Mathematical Analysis and Applications, 1 (3) (2009) 40-46.

74. D. G. Prakasha, C. S. Bagewadi, Venkatesha, Conservative conformal and quasi conformal

curvature tensors on K-contact manifolds with respect to semi-symmetric metric connection,

Tamsui Oxford Journal of Mathematical Sciences, 25 (1) (2009) 27-38.

75. N. S. Basavarajappa, C. S. Bagewadi, D. G. Prakasha, Some results on Lorentzian β-

Kenmotsu manifolds, Annals of the University of Craiova - Mathematics and Computer

Science Series, 35 (2008) 7-14.

76. C. S. Bagewadi, D. G. Prakasha,Venkatesha, A Study of Ricci Quarter symmetric metric

connection on a Riemannian manifold, Indian Journal of Mathematics, 50 (3) (2008) 607-615.

77. C. S. Bagewadi, D. G. Prakasha, N. S. Basavarajappa, Some results on K-contact and trans-

Sasakian manifolds, European Journal of Pure and Applied Mathematics, 1 (2) (2008) 21-31.

78. C. S. Bagewadi, D. G. Prakasha,Venkatesha, Torseforming vector field in 3-dimensional

Contact metric manifolds, General Mathematics, 16 (1) (2008) 83-91.

79. D. G. Prakasha, C. S. Bagewadi N. S. Basavarajappa, On Pseudo symmetric Lorentzian α-

Sasakian Manifolds, International Journal of Pure and Applied Mathematics, 48 (1) (2008)

57-65.

80. C. S. Bagewadi, N. S. Basavarajappa, D. G. PrakashaVenkatesha, On Weakly symmetric and

special weakly Ricci symmetric Lorentzian α-Sasakian manifolds, Annals of West University

of Timisoara - Mathematics and Computer Science, 156 (2008) 3-12.

81. D. G. Prakasha, C. S. Bagewadi, N. S. Basavarajappa, On Lorentzian β-Kenmotsu

manifolds, International Journal of Mathematical Analysis, 2 (19) (2008) 919–927.

82. D. G. Prakasha, C. S. Bagewadi, Venkatesha, Conservative conformal and quasi-conformal

curvature tensors on Trans-Sasakian manifolds with respect to semi-symmetric metric

connection, Differential Geometry - Dynamical Systems, 10 (2008) 263-274.

10 DAVANGERE UNIVERSITY

83. C. S. Bagewadi, D. G. Prakasha,Venkatesha, Projective curvature tensor on Kenmotsu

manifold with respect to semi-symmetric metric connection, Studii Si

CercetariStiintificeSeria:Matematica, 17 (2007) 21-32.

84. C. S. Bagewadi, N. S. Basavarajappa, D. G. Prakasha,Venkatesha, On 3-dimensional Para

Sasakian manifolds, International Journal of Engineering Mathematics: Theory and

Application 2 (2007) 110-119.

85. C. S. Bagewadi, D. G. Prakasha,Venkatesha, On Pseudo projectively flat LP-Sasakian

manifold with a coefficient Annales Universitatis Mariae Curie Skłodowska Sectio A.

Mathematica. Uniw. Marii Curie Skłodowskiej, Lublin 56 (2007) 1-8.

86. C. S. Bagewadi, D. G. Prakasha,Venkatesha, Conservative Projective curvature tensor on

trans-Sasakian manifolds with respect to semi-symmetric metric connection,

AnaleleStiintifice ale UniversitatiiOvidius Constanta, 15 (2) (2007) 5-18.

87. C. S. Bagewadi, D. G. Prakasha,Venkatesha, On pseudo projective curvature tensor of a

contact metric manifold, SUT Journal Mathematics, 43 (1) (2007) 115–126.

Scientific visits abroad

1.

Visited Varna, Bulgaria during 01st September-2015 to 06th September-2015 to present a

research paper and also served as a Chairman for one Invited Talks Session at 12th

International Conference on Geometry and Applications.

2. Visited Akdeniz University, Antalya, Turkey from 07th September-2015 to 09th September-

2015 as a visiting Fellow.

3. Visited Gazi University, Ankara, Turkey from 10th September-2015 to 13th September-2015 as

a Visiting Fellow

Scientific visit invitation

1. Received an invitation to visit Department of Geometry & Topology, University of Sevilla,

Spain as a Visiting Fellow for collaborative research work.

2. Received an invitation to visit Department Mathematics, Harran Unversity, Sanliurfa, Turkey

as a Visiting Fellow for collaborative research work.

3. Received an invitation to visit Department Mathematics, Istanbul technical University,

Istanbul, Turkey as a Visiting Fellow for collaborative research work.

Achievements/Awards:

1. Junior Research Fellow, awarded by Kuvempu University, Shankaraghatta, Shimoga, India to pursue Ph.D., in Mathematics from the year June-2005 to December-2008.

2. Best Research Publication in Science 2015 Awardby Karnatak University, Dharwad for the research paper entitled “On the C-Bochner Curvature Tensor of generalized Sasakian-Space-Forms” published in Proc. Natl. Acad, Sci. India. A (Springer) (2015).

3. Best Research Publication in Science 2016 Awardby Karnatak University, Dharwad for the research paper entitled “E-Bochner Curvature Tensor of generalized Sasakian-Space-Forms” published in C. R. Acad. Sci. Paris, Sr. I (Elsevier) (2016).

11 DAVANGERE UNIVERSITY

4.

Best Paper Award by Tensor Society of India for the research paper entitled “Characterizations of Generalized ),( -paracontact Manifolds” during National Conference on Differential Geometry and its Applications held at D.D.U. Gorakhpur University, Gorakhpur, during 27-28 January, 2017.

5. Best Research Publication in Science 2017 Awardby Karnatak University, Dharwad for the research paper entitled “η-Ricci Solitons on para-Sasakian Manifolds” published in Journal of Geometry (2017).

Research Guidance Details (M. Phil./Ph. D.):

Sl.No Name of the Scholar University Registration

month & Year Research Area

1. Mr. Vikas K. Karnatak University Awarded Differential Geometry

of Manifolds

2. Mr. KakasabMirji Karnatak University Awarded Differential Geometry

of Manifolds

3. Mr.Balachandra S. Hadimani

Karnatak University Awarded Differential Geometry

of Manifolds

4. Mr. VasantChavan Karnatak University Awarded Differential Geometry

of Manifolds

5. Mr. Nagaraja M. Karnatak University Awarded Differential Geometry

of Manifolds

6. Mr. Shivamurthy T. R.

Karnatak University Awarded Differential Geometry

of Manifolds

7. Mr. P. Veeresha Karnatak University Submitted Differential Geometry

of Manifolds

8. Mr. Harish H. Karnatak University Working Differential Geometry

of Manifolds

Collaboration Work With Institutions In India/Abroad

1. Professor Dr. Ahmet Yildiz, Department of Mathematics, Dumlupinar University, Kuthaya,

Turkey.

2. Professor Dr. Aysel Turgut Vanli, Department of Mathematics, Gazi University, Ankara,

Turkey.

3. Professor Dr. Fozen Ozen Zengin, Department of Mathematics, Istanbul Technical University,

Istanbul, Turkey.

4. Professor Luis M. Fernandez, Department of Geometry & Topology, University of Sevilla,

Spain.

5.

Professor Dr. Andreea Olteanu, Department of Mathematics, Physics and Terrestrial

Measurements, Faculty of Land Reclamation and Environmental Engineering, University of

Agronomic Sciences and Veterinary Medicine, Bucharest, Romania.

6. Professor Dumitru Baleanu, Department of Mathematics, Institute of Space Sciences,

Magurele-Bucharest, Romania.

7. Professor Mahmoud Rawashdeh, Department of Mathematics, Jordan University of Science

and Technology, Jordan.

12 DAVANGERE UNIVERSITY

8. Professor M. A. Qurashi, Department of Mathematics, College of Science, King Saud

University, Riyadh - 11495, Saudi Arabia.

9. Professor Haci Mehmet Baskonus, Department of Mathematics, Faculty of Education, Harran

University, Sanliurfa, Turkey.

10. Professor Dr. Abolfazl Taleshian, Department of Mathematics, University of Mazandaran,

Mazandaran, Iran.

11. Professor Dr. Gulnur Yel, Faculty of Educational Sciences, Final International University,

Kyrenia, Mersin 10, Turkey

12. Professor Dr. Wei Gao, School of Information Science and Technology, Yunnan Normal

University, Yunnan, China

13. Professor Dr. Absos Ali Shaikh, Department of Mathematics, University of Burdwan,

Burdwan, West Bengal, India.

14. Professor Devendra Kumar, Department of Mathematics, University of Rajastan, Jaipur, India.

15. Professor Jagdev Singh, Department of Mathematics, JECRC University, Jaipur, India.

16. Professor Sunil Kumar, Department of Mathematics, National Institute of Technology,

Jamshedpur, India.

17. Professor Dr. Amit Prakash, National Institute of Technology, Kurukshetra, India.

18. Professor Dr. Nanjundan Magesh, Department of Mathematics, Govt. Arts College for Men,

Krishnagiri, Tamilnadu, India.

19. Professor Dr. S. K. Hui, Department of Mathematics, University of Burdwan, Biurdwan, West

Bengal, India.

20. Professor Dr. C. S. Bagawedi, Department of Mathematics, Kuvempu University, Shimoga,

Karnataka, India.

21. Professor Dr. H. G. Nagaraja, Department of Mathematics, Bangalore University, Bangalore,

India.

22. Professor Dr. Venkatesha, Department of Mathematics, Kuvempu University, Shimoga,

Karnataka, India.

Conference/Workshops/Trainings attended/organized:

International/National Conferences:

1. Presented a paper entitled 3-Dimensional Contact metric manifolds in the UGC sponsored

workshop on Recent Development in Mathematics held at the Department of Mathematics,

Government Science College, Nrupathunga Road, Bangalore, on March 30, 2007.

2. Presented a paper entitled Conservative curvature tensor on K-contact manifolds with respect

to semi-symmetric metric connection during 19th International Conference of the Jangjeon

Mathematical Society, held in the Department of Mathematics, Bangalore University, Bangalore,

on Febraury 22-24, 2007.

13 DAVANGERE UNIVERSITY

3. Presented a paper entitled On generalized -recurrent Sasakian Manifolds in National

Conference of the Tensor Society on Development of Differential Geometry, organized by Tensor

Society on October, 2-3, 2009.

4. Presented a paper entitled Onnearly quasi Einstein manifolds in the 3rd Annual Conference of the

Tensor Society on Differential Geometry and its Applications held at the Department of P. G. Studies

and research in Mathematics, Kuvempu University on May 27th and 28th, 2011.

5. Presented a paper entitledOn generalized Sasakian-Space-forms with Weyl conformal

curvature tensorin the 14th International conference on Physical Sciences Interface with Humanity

organized by Vallabhbhai National Institute of Technology, Surat on December 22-24, 2011.

6. Presented a paper entitledSome Results on Generalized Quasi-Einstein Manifoldsin the

National conference on Recent Developments in Mathematics organized by Kuvempu University,

Shankaraghatta, Shimoga Dist. on May 04 - 05, 2012.

7. Presented a paper entitled Extended generalized -recurrent Sasakian Manifolds in the

International conference on Differential Geometry and Relativity held at the Department of

Mathematics, Aligarh Muslim University, Aligarh on November 20-22, 2012.

8. Presented a paper entitled Some structure on Kenmotsu manifold in the National conference on

Geometry, Algebra, Logic and Number Theory, Applications, organized by the Department of studies

and research in Mathematics, Tumkur, Univesity, Tumkur on December 6th, 2012.

9. Presented a paper entitledSome results on Lorentzian -Sasakian manifolds in the conference

on Differential Geometry held at the Department of Mathematics, Bangalore University, central

college campus, Bangalore on July 25th 2013.

10. Presented an invited talk entitled On )),(( kN Semi-Riemannian 3-Manifolds in the UGC

sponsored National conference on Geometry, Analysis and Fluid Mechanics held at the Department of Mathematics, Government first grade college, Koppa, Chikmagalur District in association with Department of studies and research in Mathematics, Kuvempu. University, Shimoga on September 20-21, 2013.

11. Presented a paper entitled On 3-Dimensional )),(( kN Semi-Riemannian manifoldsin the

UGC sponsored National level seminar on Numerical Analysis and its Applications held at the Department of Mathematics, Karnatak Arts college, Dharwad on January 10-11. 2014.

12. Presented a paper entitled On C-Bochner Curvature tensor of generalized Sasakian-space-

forms in the National seminars on Recent Trends in Mathematics and its Applications, held at Gogte

Institute of Technology, Belgaum on January 28-29, 2014.

13. Presented a paper entitled LP-Sasakian Manifolds with Coefficient in the National conference

on Advanced in Geometry, Analysis and Fluid Mechanics held at the Department of P. G Studies and

Research in Mathematics, Kuvempu University on August 26-27th, 2014.

14. Presented a paper entitled On Para-Sasakian Ricci Solitons in the program committee of the

12th International conference on Geometry and Application held at union of Bulgarian

Mathematicians on September, 2015 at Varna, Bulgaria.

14 DAVANGERE UNIVERSITY

15. Presented a paper entitled E-Bochner Curvature tensor on Generalized Sasakian-Space-Forms

in the UlusalMathemics Symposium held at Antalya-Turkey on September 7-9, 2015.

16. Presented a paper entitled On Lorentzian Sasakian Space-Times in the International conference

on Differential Geometry, Analysis and Fluid Mechanics held at the Department of P. G Studies and

Research in Mathematics, Kuvempu University on February 4-5th, 2016.

17. Presented an invited talk on Application of Contact Geometry in Fluid Dynamics in the

National Workshop on Partial Differential Equation and Numerical Methods in Fluid Dynamics held at

Department of Mathematics, Government First Grade College, KoppaChikmagalur Dist., on 4-

5th, 2016.

18. Presented a paper entitled Characterization of 3-dimensional contact Metric Manifolds inthe

National conference on Differential Geometry and its Applications held at Department of

Mathematics and Statistics, D.D.U. Gorakhpur University, Gorakhpur on January 27-28th, 2017.

19. Presented a paper entitled “On Lorentzian -Sasakian Space Times” in the National Conference

on Differential Geometry and General Relativity (NCDGGR-2017) held at Sardar Patel

University, Anand, Gujarat on November 28th& 29th, 2017.

20. Presented a paper entitled M-projective Curvature Tensor on Lorentzian -Sasakian Space

Times in the National Conference on Recent Advances in Mathematical Sciences and

Applications, held at Tumkur University, Tumkur on December 01st& 02nd, 2017.

Personal Details

Gender Male

Date of Birth 11th March, 1983

Contact details

Address for Communication Permanent address

Dr. Prakasha D. G. Associate Professor Department of Mathematics Davangere University Shivagangothri – 577 007 Davangere.

Dr. Prakasha D. G. s/o Nagarajappa D. G. Mujarehanumanahalli (Post) Kundur Marg Honnali Taluk, Davangere District.

Electronic address

Telephone Mobile : +91 8095907689 Home :

E mail : prakashadg@gmail.com prakashadg@davangereuniversity.ac.in

Website: Google Scholar Link : https://scholar.google.co.in/citations?user=sKWyav0AAAAJ&hl=en ResearchGate Link: https://www.researchgate.net/profile/DG_Prakasha