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SYMPOSIUM PROGRAMME
July 4, 2018 Wednesday 08.30-10.00 Registration 10.00-11.00 Opening Ceremony 11.00-11.15 Coffee Break 11.15-12.00 Invited Speaker: Prof. Adela MIHAI
“Modern Topics in the Geometry of Einstein Spaces” 12.00-12.15 Coffee Break 12.15-13.00 Invited Speaker: Prof. Mehmet Ali GÜNGÖR
“Split Quaternions and Hyperbolic Spinor Representation of Transformations” 13.00-14.30 Lunch 14.30-16.10 Oral Presentations-I 16.10-16.30 Coffee Break 16.30-17.50 Oral Presentations-II 17.50-18.00 Coffee Break 18.00-18.30 Seminar: Prof. Rüstem KAYA
“When a Mathematician Retires!” 20.30-22.00 Dinner
July 5, 2018 Thursday 09.30-10.50 Oral Presentations-I 10.50-11.10 Coffee Break 11.10-11.40 Seminar: Prof. Osman GÜRSOY
“Mathematical Reasoning in Teaching and Education” 11.40-11.55 Coffee Break 11.55-12.55 Invited Speaker: Prof. Konrad POLTHIER
“Branched Covering Surfaces” 13.00-14.30 Lunch 14.30-15.30 Invited Speaker: Prof. Hasan Hüseyin UĞURLU
“The Principle of Transference Between Real and Dual Lorentzian Spaces and Dual Lorentzian Angles”
15.30-15.45 Coffee Break 15.45-17.25 Oral Presentations-II 17.25-17.40 Coffee Break 17.40-18.40 Seminar: Prof. H. Hilmi HACISALİHOĞLU
“The Letter Abraham Lincoln Wrote to the Teacher of His Son” 20.30-22.00 Gala Dinner
July 6, 2018 Friday 09.30-11.10 Oral Presentations-I 11.10-11.30 Coffee Break 11.30-12.30 Invited Speaker: Prof. Rakesh KUMAR
“Some Characterization Theorems for Lightlike Hypersurfaces of Semi-Riemannian Manifolds Admitting a Semi-symmetric Non-metric Connection”
13.00-14.30 Lunch 14.30-16.10 Oral Presentations-II 16.10-16.25 Coffee Break 16.25-17.45 Oral Presentations-III 17.45-18.00 Coffee Break 18.00-18.40 Closing Meeting 20.30-22.00 Dinner
July 7, 2018 Saturday 08.30 Sardis (Salihli) and Manisa City Tour
*Poster presentations will be presented at 14.30/July 4-5-6, 2018.
JULY 4, 2018 WEDNESDAY
2
14.30 – 16.10
Conference Hall Chair: Prof. Bayram Şahin & Vice-Chair: Assist. Prof. Ramazan Sarı
Author(s) Abstract Title
Sibel Turanlı, Aydın Gezer, Elif Altıntaş
Nearly Metallic Kähler Manifolds
Cengizhan Murathan, Bayram Şahin
A Study of Wintgen Like Inequality for Submanifolds In Statistical Warped Product Manifolds
Pelin Tekin, Gülhan Ayar, Nesip Aktan
A New Class of Nearly Kenmotsu Manifolds
Ramazan Sarı, Elif Aksoy Sarı, İnan Ünal
Some Properties Generic Submanifolds of LP-Cosymplectic Manifold
Ramazan Sarı, Elif Aksoy Sarı, Mehmet Akif Akyol
Some Curvature Properties of CR-Submanifolds of a Para Sasakian Manifold
14.30 – 16.10
Hall 1 Chair: Prof. Osman Gürsoy & Vice-Chair: Assoc. Prof. Betül Bulca
Author(s) Abstract Title
Nergiz Poyraz, Erol Yaşar, Erol Kılıç
Half Lightlike Submanifolds of a Golden Semi-Riemannian Manifold
Olgun Durmaz, Buşra Aktaş, Halit Gündoğan
Constraint Manifolds for 2R Open Chain on Lorentz Plane
Buşra Aktaş, Olgun Durmaz, Halit Gündoğan
Constraint Manifolds of 2R Spherical Open Chain in Lorentz Space
Merve Atasever, Sezgin Altay Demirbağ
On the Classification of Generalized m-Quasi Einstein Manifolds
Nergiz Poyraz, Erol Kılıç, Erol Yaşar
Screen Conformal Lightlike Hypersurfaces of a Golden Semi-Riemannian Manifold
14.30 – 16.10
Hall 2 Chair: Prof. Mehmet Sezer & Vice-Chair: Assist. Prof. Süleyman Şenyurt
Author(s) Abstract Title
Tuba Ağırman Aydın, Hüseyin Kocayiğit, Mehmet Sezer
A Special Interpretation of the Concept "Constant Breadth" for a Space Curve
Esma Dirican, Yaşar Sözen Reidemeister Torsion of Orientable Punctured Surfaces
Muradiye Çimdiker, Yasin Ünlütürk
On Timelike Surfaces of Constant Breadth
Sümeyye Gür, Süleyman Şenyurt, Luca Grilli
The Parallel Equidistant Ruled Surfaces on the Dual Space
Burak Şahiner Some Associated Curves of Binormal Indicatrix of a Curve in Euclidean 3-Space
JULY 4, 2018 WEDNESDAY
3
14.30 – 16.10
Hall 3 Chair: Prof. Abdullah Mağden & Vice-Chair: Assist. Prof. İnan Ünal
Author(s) Abstract Title
Haşim Çayır, Süleyman Şenyurt Some Research Notes on Lifting of Evolute Curve on Tangent Space 𝑇𝑅3
Abdullah Mağden, Aydın Gezer, Kübra Karaca
A Study on the Deformed Second Lift Metric on the Second Order Tangent Bundle
Aysel Turgut Vanlı, Keziban Avcu, İnan Ünal
On Complex Sasakian Manifolds Satisfying Certain Curvature Conditions
Semra Zeren, Ahmet Yıldız Semi-slant Submanifolds with Schouten-Van Kampen Connection
Elif Demirci, Basri Çelik Line Intersections on Some Projective Klingenberg Planes
14.30 – 16.10
Hall 4 Chair: Prof. Cengizhan Murathan & Vice-Chair: Assoc. Prof. Ayşe Funda Sağlamer
Author(s) Abstract Title
İrem Küpeli Erken Yamabe Solitons on Three-Dimensional Normal Almost Paracontact Metric Manifolds
Nesrin Çalışkan, Ayşe Funda Sağlamer, Nurten Kılıç
On the Normality Conditions of Almost Kenmotsu Finsler Structures on Vector Bundles
Ayşe Funda Sağlamer, Nesrin Çalışkan, Nurten Kılıç
On the Curvatures of Indefinite Kenmotsu Finsler Manifolds
Nurten Kılıç, Ayşe Funda Sağlamer, Nesrin Çalışkan
Contact Pseudo-Metric Structures on Indefinite Finsler Manifolds
Aziz Yazla, İrem Küpeli Erken, Cengizhan Murathan
Almost Cosymplectic Statistical Manifolds
14.30 – 16.10
Hall 5 Chair: Prof. Ömer Tarakcı & Vice-Chair: Assoc. Prof. Nurettin Cenk Turgay
Author(s) Abstract Title
Mehmet Aydınalp, Mustafa Kazaz, Hasan Hüseyin Uğurlu
The Inverse Kinematics of Rolling Contact Motion of Timelike Surfaces in the Direction of Spacelike Unit Tangent Vector with Point Contact
Arif Salimov, Habil Fattayev g-lifts of Covariant Tensor Fields in the Coframe Bundle
Semra Yurttançıkmaz, Ömer Tarakcı, Aydın Gezer
On the Curvatures Properties of Tangent Bundle of Hypersurfaces in a Euclidean Space
Mehmet Aydınalp, Mustafa Kazaz, Hasan Hüseyin Uğurlu
The Inverse Kinematics of Rolling Contact Motion of Timelike Surfaces in the Direction of Timelike Unit Tangent Vector with Point Contact
JULY 4, 2018 WEDNESDAY
4
14.30 – 16.10
Hall 6 Chair: Prof. Mehmet Ali Güngör & Vice-Chair: Assoc. Prof. Feyza Esra Erdoğan
Author(s) Abstract Title
Rabia Çakan On gh-lifts of Some Tensor Fields
Aysel Turgut Vanlı, Dilek Özdemir, İnan Ünal
On Normal Complex Contact Metric Manifolds Admitting a Semi-symmetric Non-Metric Connection
Feyza Esra Erdoğan, Cumali Yıldırım, Esra Karataş
Geometry of Lightlike Submanifolds of Golden Semi Riemannian Manifolds
Nergiz Poyraz, Burçin Doğan Inequalities on Screen Homothetic Lightlike Hypersurfaces of Lorentzian Product Manifolds with Quarter-Symmetric Non-metric Connection
Salih Çelik, Sultan A. Çelik, İlknur Temli
The Symmetry Group of the Differential Calculus on 𝐹(𝑅𝑞(1|1))
14.30 – 16.10
Hall 7 Chair: Prof. Mehmet Bektaş & Vice-Chair: Assoc. Prof. Murat Babaarslan
Author(s) Abstract Title
Figen Çilingir Fractals of Infinite Area
Gökşen Bacak Turan Stability Measures of Sierpinski Fractal
Derya Doğan Durgun, Ali Bagatarhan
ACN On Geometric Graphs
Fatma Özen Erdoğan, Abdurrahman Dayıoğlu, Atilla Akpınar, Basri Çelik
On Graphs Obtained from Projective Planes
Mustafa Yeneroğlu, Vedat Asil, Talat Körpınar, Selçuk Baş
On Some Surfaces by Ribbon Frame
16.30 – 17.50
Conference Hall Chair: Prof. Adela Mihai & Vice-Chair: Assoc. Prof. Nurettin Cenk Turgay
Author(s) Abstract Title
Marian Ioan Munteanu Contact CR-submanifolds in Spheres
Mehmet Bektaş, Zuhal Küçükarslan Yüzbaşı, Stephen C. Anco
Geometric Inextensible Timelike Curve Flows and mKDV Soliton Equation in SO(n,1)/SO(n-1,1)
Fernando Manfio, Nurettin Cenk Turgay
A Note on Isometric Immersions into 𝕊𝒏 × ℝ
JULY 4, 2018 WEDNESDAY
5
16.30 – 17.50
Hall 1 Chair: Prof. Mahmut Ergüt & Vice-Chair: Assist. Prof. Zeynep Can
Author(s) Abstract Title
Alev Kelleci, Nurettin Cenk Turgay, Mahmut Ergüt
Some Results for CA Surfaces with Higher Codimension
Zeynep Can, Leman Yalçın, Zeynep Çolak
Some Distance Formulae in 3-Dimensional Truncated Octahedron Space
Gülsüm Yeliz Şentürk, Salim Yüce, Nuri Kuruoğlu
A Study on Mannheim Offsets of Ruled Surfaces
Alev Kelleci, Nurettin Cenk Turgay, Mahmut Ergüt
On CPD Surfaces in Euclidean Spaces
16.30 – 17.50
Hall 2 Chair: Prof. Aydın Gezer & Vice-Chair: Assist. Prof. Burcu Bektaş Demirci
Author(s) Abstract Title
Sinem Güler, Sezgin Altay Demirbağ
Generalized Ricci Solitons on Lorentzian Twisted Product
Burcu Bektaş Demirci Ricci Solitons on Lorentzian Hypersurfaces of Pseudo-Euclidean Spaces
Sultan A. Çelik, İlknur Temli On the Differential Geometry of 𝐺𝐿𝑝,𝑞(1|1)
Burçin Doğan, Bayram Şahin, Erol Yaşar
Screen Transversal Cauchy Riemann Lightlike Submanifolds of Indefinite Kaehler Manifolds
16.30 – 17.50
Hall 3 Chair: Prof. H. Hilmi Hacısalihoğlu & Vice-Chair: Assist. Prof. Haşim Çayır
Author(s) Abstract Title
Fatma Karakuş , Yusuf Yaylı The Fermi-Walker Derivative on the Binormal Indicatrix of Spacelike Curve
Haşim Çayır, Yasemin Soylu Some Research Results with respect to Lifts of Structure on Cotangent Bundle
Mustafa Yeneroğlu, Vedat Asil, Talat Körpınar, Selçuk Baş
On Fermi-Walker Derivative with Modified Frame
Fatma Karakuş The Fermi-Walker Derivative on Spacelike Surfaces
JULY 4, 2018 WEDNESDAY
6
16.30 – 17.50
Hall 4 Chair: Prof. Cumali Ekici & Vice-Chair: Assoc. Prof. Ayşe Funda Sağlamer
Author(s) Abstract Title
Nurten Kılıç, Ayşe Funda Sağlamer, Nesrin Çalışkan
𝛆-Sasakian Structures on Indefinite Finsler Manifolds
Nesrin Çalışkan, Ayşe Funda Sağlamer, Nurten Kılıç
Mixed Totally Geodesic Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds
Ayşe Funda Sağlamer, Nesrin Çalışkan, Nurten Kılıç
Sasakian Lorentzian Structures on Indefinite Finsler Manifolds
16.30 – 17.50
Hall 5 Chair: Prof. Hasan Hüseyin Uğurlu & Vice-Chair: Assoc. Prof. Yasin Ünlütürk
Author(s) Abstract Title
Nilgün Sönmez, Murat Babaarslan
Differential Equations of Space-Like Loxodromes on Canal Surfaces in Minkowski 3-Space
Muradiye Çimdiker, Yasin Ünlütürk
The Motivation for the Space-Like Surface of Constant Breadth
Sümeyye Gür, Süleyman Şenyurt, Luca Grilli
The Gauss Curvatures of the Dual Parallel Equidistant Ruled Surfaces
Murat Babaarslan Loxodromes on Helicoidal and Canal Surfaces in Euclidean 4-Space
16.30 – 17.50
Hall 6 Chair: Prof. Murat Tosun & Vice-Chair: Assoc. Prof. Betül Bulca
Author(s) Abstract Title
Sümeyra Uçar, Nihal Yılmaz Özgür
On the Invariants of Finite Blaschke Products
Kadri Arslan, Betül Bulca, Ali Özdemir, Bahattin Bozdağ, Canan Özdemir
A Geometric Modeling of Tracheal Elements of Chard (Beta vulgaris var. cicla L.) Leaf
Ali Özdemir, Betül Bulca, Bahattin Bozdağ, Canan Özdemir, Kadri Arslan
Geometric Modeling and Statistical Comparison of Some Sage (Salvia L.) Glandular Hairs
Sümeyra Uçar, Nihal Yılmaz Özgür
The Golden Ratio and Finite Blaschke Products of Degree Two and Three
JULY 4, 2018 WEDNESDAY
7
16.30 – 17.50
Hall 7 Chair: Prof. Mustafa Düldül & Vice-Chair: Assoc. Prof. Şeyda Kılıçoğlu
Author(s) Abstract Title
Fatih Çelik, Mustafa Düldül Computation of the Lines of Curvature of Parametric Hypersurfaces in 𝐸4
Mustafa Dede, Hatice Tozak, Cumali Ekici
Timelike Conchoid Curves in Minkowski Plane
Şeyda Kılıçoğlu, Süleyman Şenyurt
An Examination on Curves with Common Principal Normal and Darboux Vectors in 𝐸3
Faik Babadağ Real matrix representations for Tessarine Numbers
JULY 5, 2018 THURSDAY
8
09.30 – 10.50
Conference Hall Chair: Prof. Mohammad Hasan Shahid & Vice-Chair: Assoc. Prof. Yasin Ünlütürk
Author(s) Abstract Title
Muradiye Çimdiker, Cumali Ekici, Mustafa Dede
Intrinsic Equations for a Generalized Relaxed Elastic Line Due to the B-Darboux Frame on an Oriented Surface
Süleyman Şenyurt, Abdussamet Çalışkan
A New Approach on Dual Spherical Curves and Surfaces
Ana-Irına Nistor Recent Developments on Magnetic Curves
Yasin Ünlütürk , Süha Yılmaz On the Principal Normal and Binormal Spherical Indicatrices of a Time-like W-Curve on Pseudohyperbolic Space 𝐻0
3
09.30 – 10.50
Hall 1 Chair: Prof. Rüstem Kaya & Vice-Chair: Assist. Prof. Mehmet Akif Akyol
Author(s) Abstract Title
Mehmet Akif Akyol Conformal Semi-slant Submersions with Total Space a Kahler Manifold
Yasemin Soylu The Weighted Ricci Curvatures and Compactness on Finsler Manifolds
Şaban Güvenç, Cihan Özgür On a Class of Slant Curves in S-manifolds
Mehmet Akif Akyol, Ye-Lin Ou Biharmonic Riemannian Submersions
09.30 – 10.50
Hall 2 Chair: Prof. H. Hilmi Hacısalihoğlu & Vice-Chair: Assist. Prof. Erhan Güler
Author(s) Abstract Title
Çağla Ramis, Yusuf Yaylı An Alternative Approach to Tubular Surfaces
Erhan Güler, H. Hilmi Hacısalihoğlu
Möbius-Type Hypersurface in 4-Space
Fatma Almaz, Mihriban Alyamaç Külahçı
A Study on the Rotated Surfaces in Galilean Space
Çağla Ramis, Esma Demir Çetin, Yusuf Yaylı
Developable Surfaces with k-Order Frame
JULY 5, 2018 THURSDAY
9
09.30 – 10.50
Hall 3 Chair: Prof. Murat Tosun & Vice-Chair: Assist. Prof. Faik Babadağ
Author(s) Abstract Title
Faik Babadağ Some Properties of Bicomplex Tribonacci and Tribonacci-Lucas Numbers
Kemal Gökhan Nalbant, Salim Yüce
Determinant of Dual Quaternion Matrices and Matlab Applications
Erhan Ata, Ümit Ziya Savcı Approaching Generalized Quaternions from Matrix Algebra
Faik Babadağ Generalized Tessarine Numbers and Homothetic Motions
09.30 – 10.50
Hall 4 Chair: Prof. Süheyla Ekmekçi & Vice-Chair: Assoc. Prof. Şenay Baydaş
Author(s) Abstract Title
Haşim Çayır Some Notes on Lifting of Frenet Formulas on Tangent Space 𝑇𝑅3
Bülent Karakaş, Şenay Baydaş Non-Euclidean form of Minkowski Space and 4-Dimensional Geometry
Ziya Akça, Süheyla Ekmekçi, Ayşe Bayar
On Coordinatization and Fibered Projective Plane
09.30 – 10.50
Hall 5 Chair: Prof. Keziban Orbay & Vice-Chair: Assoc. Prof. Fatma Karakuş
Author(s) Abstract Title
Tevfik Şahin, Fatma Karakuş, Yusuf Yaylı
The Fermi-Walker Derivative and Dual Frenet Frame
Ferhat Taş, Selçuk Topal Approximating the Definite Integral Computation: A Novel Method
Oğul Esen, Manuel de Leon, Cristina Sardón
A Hamilton–Jacobi Theory for Implicit Differential Systems
Tevfik Şahin, Fatma Karakuş, Keziban Orbay
The Fermi-Walker Derivative and Non-Rotating Frame in Dual Space
JULY 5, 2018 THURSDAY
10
09.30 – 10.50
Hall 6 Chair: Prof. Mehmet Atçeken & Vice-Chair: Assoc. Prof. İsmet Ayhan
Author(s) Abstract Title
Hatice Kuşak Samancı Introduction to Dual Covariant Derivative on Time Scales
Ömer Akgüller, Sibel Paşalı Atmaca
Geometric Characterization of Surfaces on Time Scales
Muhammed Çetin, Hüseyin Kocayiğit, Mehmet Sezer
Lucas Polynomial Approach to Determine Lorentzian Spherical Timelike Curves in Minkowski 3-Space
Hatice Kuşak Samancı A Partial Solution to an Open Problem of Frenet Frame of A Curve Parametrized By Time Scales
09.30 – 10.50
Hall 7 Chair: Prof. F. Nejat Ekmekci & Vice-Chair: Assist. Prof. Özgür Kelekçi
Author(s) Abstract Title
Zehra Özdemir, Gül Tuğ, İsmail Gök, F. Nejat Ekmekci
Surface Growth Kinematics in Galilean Space
Özgür Kelekçi On the Special Geometry of Calabi-Yau Moduli Spaces
Sinem Gönül, İrem Küpeli Erken, Aziz Yazla, Cengizhan Murathan
A Neutral Relation Between Polynomial Structure and Almost Quadratic φ-Structure
Aydın Altun Plane Mechanism and Dual Spatial Motions
15.45 – 17.25
Conference Hall Chair: Prof. Bülent Karakaş & Vice-Chair: Assoc. Prof. Fatma Karakuş
Author(s) Abstract Title
Mohammad Hasan Shahid Generalized Normalized δ-Casorati Curvature for Statistical Submanifolds in Quaternion Kaehler-like Statistical Space Form
Mehmet Atçeken, Pakize Uygun
Some Classes of Invariant Submanifolds of (k,µ)-Contact Manifold
Kemal Gökhan Nalbant, Salim Yüce
Inverse of Dual Quaternion Matrices and Matlab Applications
Ahmet Yıldız, Kadir İçaçan On the Geometry of Trans-Sasakian Manifolds with the Schouten-Van Kampen Connection
JULY 5, 2018 THURSDAY
11
15.45 – 17.25
Hall 1 Chair: Prof. Marian Ioan Munteanu & Vice-Chair: Assist. Prof. Süleyman Dirik
Author(s) Abstract Title
Süleyman Dirik, Mehmet Atçeken, Ümit Yıldırım
On Contact CR-Submanifolds of a Sasakian Manifold
Mehmet Atçeken, Ümit Yıldırım, Süleyman Dirik
Pseudoparallel Invariant Submanifolds of (LCS)n-Manifolds
Sibel Torun, Süleyman Dirik On Contact Pseudo-Slant Submanifolds in a LP-Cosymplectic Manifold
Aysel Turgut Vanlı, İnan Ünal, Ramazan Sarı
Invariant Submanifolds of Normal Complex Contact Metric Manifolds
Şener Yanan, Bayram Şahin Conformal Riemannian Maps in Complex Geometry
15.45 – 17.25
Hall 2 Chair: Prof. Rakesh Kumar & Vice-Chair: Assist. Prof. Ümit Ziya Savcı
Author(s) Abstract Title
Nurten Gürses, Salim Yüce, Mücahit Akbıyık
Moving Coordinate System and Euler-Savary Formula under One-Parameter Planar Homothetic Motions in Generalized Complex Number Plane 𝐶𝑗
Harun Barış Çolakoğlu On the Isometries of The Generalized Taxicab Plane
Temel Ermiş, Gaye Zaim Erçınar, Özcan Gelişgen
Some Geometric Properties of Rhombic Dodecahedron Space
Erhan Ata, Ümit Ziya Savcı Generalized Quaternions in Spatial Kinematics in an Algebraic Sense
Ziya Akça, Ayşe Bayar, Süheyla Ekmekçi
On Some Arcs in the Smallest Cartesian Group Plane
15.45 – 17.25
Hall 3 Chair: Prof. Süha Yılmaz & Vice-Chair: Assist. Prof. Hatice Kuşak Samancı
Author(s) Abstract Title
Hatice Kuşak Samancı On Quadratic Rational Bezier Curve with Split Quaternion Weights
Faik Babadağ Similar Cartan Null Curves in Minkowski 4-space with Variable Transformations
Yasin Ünlütürk , Süha Yılmaz On the Spherical Indicatrices of Pseudo Null Curves in Minkowski Space-Time 𝐸1
4
Haşim Çayır On Lifting of Involute Curve on Tangent Space 𝑇𝑅3
Hatice Kuşak Samancı, Ayhan Yıldız
The Slant Helices According to N-Bishop Frame of The Timelike Curve in Minkowski 3-Space
JULY 5, 2018 THURSDAY
12
15.45 – 17.25
Hall 4 Chair: Prof. Konrad Polthier & Vice-Chair: Assoc. Prof. Şenay Baydaş
Author(s) Abstract Title
Bülent Altunkaya, Levent Kula Mappings for Generating Rational Helices
Bahar Uyar Düldül, Mustafa Düldül
Shape Operator Along a Surface Curve and its Applications
Oğul Esen Conformal Generalization of Nambu-Poisson Geometry in 3D
Şenay Baydaş D-H Representation in Lorentzian Space and Mechanical Applications
Ayşe Bayar, Süheyla Ekmekçi, Ziya Akça
On Some Classical Theorems in Fibered Projective Plane
15.45 – 17.25
Hall 5 Chair: Prof. Bayram Şahin & Vice-Chair: Assoc. Prof. Soley Ersoy
Author(s) Abstract Title
Aslı Ayar, Bayram Şahin Pythagorean Hodograph λ μ - Bezier Like Curve with Two Shape Parameters
Amine Yılmaz, Bayram Şahin On Geodesics of the Tangent and Normal Surfaces Defined by TN-Smarandache Curve According to Frenet Frame
Mustafa Kazaz, Damla Gökyeşil Characterizations of Dual Curves in Dual Space 𝐷3 According to Dual Bishop Frame
Ferhat Taş, Osman Gürsoy, Selçuk Topal
Spherical Bézier Curves and Ruled Surfaces
Mustafa Dede, Muradiye Çimdiker, Cumali Ekici
Intrinsic Equations for a Generalized Relaxed Elastic Line Due to the B-Darboux Frame of Space-Like Curve on a Surface in the Minkowski 3-Space
15.45 – 17.25
Hall 6 Chair: Prof. Hasan Hüseyin Uğurlu & Vice-Chair: Assoc. Prof. Sezai Kızıltuğ
Author(s) Abstract Title
Erhan Güler, G. Kaimakamis, M. Magid
Helicoidal Hypersurfaces in the Four-Dimensional Minkowski Space
İsmet Ayhan Notes on Geodesics of 𝑆𝑂(3)
Hasan Hüseyin Uğurlu, Gül Yaşar, Büşra Çiçekdal
The Frenet Frames of Lorentzian Spherical Timelike Helices and Their Invariants
Hasan Hüseyin Uğurlu, Hesna Kabadayı, Gül Yaşar
Timelike Helices on The Lorentzian Sphere 𝑆12(𝑟)
Ali Çakmak, Sezai Kızıltuğ, Gökhan Mumcu
New Type Direction Curves in 𝐸13
JULY 5, 2018 THURSDAY
13
15.45 – 17.25
Hall 7 Chair: Prof. Mohammad Hasan Shahid & Vice-Chair: Assoc. Prof. Nilgün Sönmez
Author(s) Abstract Title
Özcan Gelişgen, Temel Ermiş The Circle Inversion Fractals in Terms of Alpha Metric
Nilgün Sönmez, Abdulaziz Açıkgöz
On the L-Hyperbola and L-Parabola in the Lorentz-Minkowski Plane
Temel Ermiş, Özcan Gelişgen Isometry Group in TD and TI Metric Spaces
Mehmet Ali Balcı, Ömer Akgüller
Curvatures of Clusters in Complex Networks
JULY 6, 2018 FRIDAY
14
09.30 – 11.10
Conference Hall Chair: Prof. Ahmet Yıldız & Vice-Chair: Assoc. Prof. Hakan Mete Taştan
Author(s) Abstract Title
Süleyman Şenyurt, Osman Çakır
Differential Equations for a Space Curve According to the Unit Darboux Vector
Süha Yılmaz, Yasin Ünlütürk Characterizations of Some Associated and Special Curves to Cartan Frame in Complex Space
Baver Okutmuştur Reisnerr-Nordström Spacetime Geometry: Derivation of the Euler and Burgers Models
Cem Sayar, Hakan Mete Taştan, Fatma Özdemir
Generic Submersions from Kaehler Manifolds I
Cem Sayar, Hakan Mete Taştan, Fatma Özdemir
Generic Submersions from Kaehler Manifolds II
09.30 – 11.10
Hall 1 Chair: Prof. Cumali Ekici & Vice-Chair: Assist. Prof. Özgür Kalkan
Author(s) Abstract Title
Nihal Kılıç Aslan, Kazım İlarslan Some Results for Generalized Null Mannheim Curves in 4-dimensional Semi-Euclidean Space with Index 2
Hatice Altın Erdem, Nihal Kılıç Aslan, Kazım İlarslan
On Lightlike W-Curves in 4-dimensional Semi-Euclidean Space with Index 2
Fırat Yerlikaya, İsmail Aydemir A New Method to Obtain the Position Vector of Slant Helices in Lorentz-Minkowski 3-Space
Cumali Ekici, Merve Büşra Göksel, Mustafa Dede
Smarandache Curves According to q-Frame in Euclidean 3-Space
Özgür Kalkan, Hakan Öztürk, Damla Zeybek
On 𝑇∗𝑁∗ Smarandache Curves of Involute-Evolute Curve According to Frenet Frame in Minkowski 3-space
09.30 – 11.10
Hall 2 Chair: Prof. Kadri Arslan & Vice-Chair: Assoc. Prof. İlkay Arslan Güven
Author(s) Abstract Title
Eray Demirbaş, Kadri Arslan On Grassmann Images of Rotational Surfaces in 𝐸4
İlkay Arslan Güven, Mustafa Dede, İpek Tor
Translation Surfaces According to a New Frame
Erhan Güler, Nurettin Cenk Turgay
Cheng-Yau Operator and Gauss Map of Rotational Hypersurfaces in the Four-Dimensional Euclidean Space
Kadri Arslan, Yılmaz Aydın, Eray Demirbaş, Aziz Yazla
Euclidean Curves with Incompressiable Canonical Vector Fields
Fatma Karaca f-Biminimal Maps in Generalized Space Forms
JULY 6, 2018 FRIDAY
15
09.30 – 11.10
Hall 3 Chair: Prof. Mustafa Özdemir & Vice-Chair: Assist. Prof. Tülay Erişir
Author(s) Abstract Title
İnan Ünal, Aysel Turgut Vanlı, Gamze Alkaya
Generalized Complex Contact Space Forms
Kübra Çetinberk, Salim Yüce On the Complex Fibonacci 3-Vectors
Tülay Erişir, Mehmet Ali Güngör
On Fibonacci Spinors
Duygu Soylu, Mustafa Özdemir Householder Transformation with Hyperbolic Numbers
09.30 – 11.10
Hall 4 Chair: Prof. F. Nejat Ekmekci & Vice-Chair: Assist. Prof. Muhammed Talat Sarıaydın
Author(s) Abstract Title
Muhammed Talat Sarıaydın, Talat Körpınar
On Vectorial Moments According to Bishop Frame in Minkowski 3-Space
Fatma Ateş, F. Nejat Ekmekci, İsmail Gök
Spherical Caustic Curves Generated by Reflected Rays
Özgür Keskin, Yusuf Yaylı Rectifying Slant Curves in Minkowski 3-Space
Sezai Kızıltuğ, Ali Çakmak, Gökhan Mumcu
Rectifying Direction Curves
Simge Şimşek, Cansel Yormaz Hamiltonian Mechanical Energy on Super Hyperbolic Spiral Curve
09.30 – 11.10
Hall 5 Chair: Prof. Süha Yılmaz & Vice-Chair: Assoc. Prof. Semra Kaya Nurkan
Author(s) Abstract Title
Yılmaz Gündüzalp, Mehmet Akif Akyol
On the Geometry of Conformal Slant Submersions
Hasan Çakıcıoğlu, Aydın Gezer Codazzi Pairs on Almost Anti-Hermitian Manifolds
Feyza Esra Erdoğan, Selcen Yüksel Perktaş, Bilal Eftal Acet
On a Study of Lightlike Submanifolds of Metallic semi-Riemannian Manifolds
Ahmet Sazak, Ahmet Yıldız 3-Dimensional Quasi-Sasakian Manifolds with The Schouten-Van Kampen Connection and Da-Homotetic Deformation
Furkan Yıldırım Horizontal Lifts of Vector Fields to the Semi-tensor Bundle
JULY 6, 2018 FRIDAY
16
09.30 – 11.10
Hall 6 Chair: Prof. Cihan Özgür & Vice-Chair: Assoc. Prof. Günay Öztürk
Author(s) Abstract Title
Sezgin Büyükkütük, Günay Öztürk
Timelike Factorable Surfaces in Minkowski 4-Space 𝐼𝐸14
Sezgin Büyükkütük, İlim Kişi, Günay Öztürk
Spacelike Aminov Surfaces of Elliptic Type in Four Dimensional Minkowski Space 𝐼𝐸1
4
Sezgin Büyükkütük, Günay Öztürk
A Characterization of Factorable Surfaces in Euclidean 4-Space 𝐼𝐸4
Cumali Ekici, Gül Uğur Kaymanlı, Mustafa Dede
Bertrand Offsets of Ruled Surfaces with B-Darboux Frame
Murat Kemal Karacan, Nural Yüksel, Yılmaz Tunçer, Burçin Saltık
Right Conoid in Euclidean 3-Space
09.30 – 11.10
Hall 7 Chair: Prof. Ziya Akça & Vice-Chair: Assoc. Prof. Çetin Camcı
Author(s) Abstract Title
Duygu Yeniçırak, Çetin Camcı On Rectifying Spherical Curves in Euclidean Space
Ayşe Bayar, Abdilkadir Altıntaş, Süheyla Ekmekçi, Ziya Akça
Some Properties of Parabolas Whose Vertices are On Sides of Orthic Triangle and Foci are Orthocenter
Süheyla Ekmekçi, Ziya Akça, Ayşe Bayar
Fiber Diagonal Triangle and Fiber Quadrangular Set
Talat Körpınar, Selçuk Baş, Mustafa Yeneroğlu, Rıdvan Cem Demirkol
On Characterization of Inextensible Flows with Modified Orthogonal Frame
Sevilay Çoruh, Salim Yüce Basic Concepts of Lorentz Space
14.30 – 16.10
Conference Hall Chair: Prof. Rakesh Kumar & Vice-Chair: Assoc. Prof. Murat Altunbaş
Author(s) Abstract Title
Gherici Beldjilali On 3-dimensional Almost Golden Riemannian Manifold
Kaddour Zegga, Gherici Beldjilali, A. Mohammed Cherif
Sasakian Structure on the Product of Manifolds
Ramazan Şimşek, Murat Altunbaş, Aydın Gezer
Properties of Berger Type Deformed Sasaki Metric
Hakan Mete Taştan, Sibel Gerdan
On Doubly Twisted Submanifolds
Fatiha Mahi, Mohamed Belkhelfa
Second Order Parallel Symmetric Tensor on a S-manifold
JULY 6, 2018 FRIDAY
17
14.30 – 16.10
Hall 1 Chair: Prof. Mustafa Çalışkan & Vice-Chair: Assoc. Prof. Günay Öztürk
Author(s) Abstract Title
Sezgin Büyükkütük, Günay Öztürk
Spacelike Aminov Surfaces of Hyperbolic Type in Four Dimensional Minkowski Space 𝐼𝐸1
4
İlim Kişi, Sezgin Büyükkütük, Günay Öztürk
Focal Surfaces of a Tubular Surface with Respect to Frenet Frame in 𝐼𝐸3
Mustafa Dede, Gamze Tarım, Cumali Ekici
Timelike Tubular Surfaces with Flc-Frame
Murat Polat, Furkan Yıldırım Semi-Tensor Bundle and the Complete Lift of Vector Fields
Emel Karaca, Mustafa Çalışkan Some Characterizations for Ruled Surface Pair Generated by Natural Lift Curve in Dual Space
14.30 – 16.10
Hall 2 Chair: Prof. Ziya Akça & Vice-Chair: Assoc. Prof. Esen İyigün
Author(s) Abstract Title
Cansel Yormaz, Simge Şimşek Lagrangian Mechanical Energy on Super Logarithmic Spiral Curve
Fırat Yerlikaya, İsmail Aydemir A New Perspective to Solve the Derivative Formulas of The Frenet-Serret Frame in Lorentz-Minkowski 3-Space
Esen İyigün Partially Null Curves Lying Completely on the Subspace of 𝑅2
4
İlim Kişi, Günay Öztürk Involute Curves of Order k of a Given Curve in Galilean 4-Space 𝐺4
14.30 – 16.10
Hall 3 Chair: Prof. Ahmet Yücesan & Vice-Chair: Assoc. Prof. Soley Ersoy
Author(s) Abstract Title
Nihal Taş, Nihal Yılmaz Özgür A Geometric Viewpoint on the Fixed-Circle Problem
Nihal Yılmaz Özgür, Nihal Taş New Fixed-Circle Theorems
Ufuk Çelik, Nihal Yılmaz Özgür New Fixed-Circle Results via Some Families of Functions
Temel Ermiş, Esra Çolak Aktaş, Özcan Gelişgen
Inversion About a Circle in PT Metric Space
Nihal Taş Various Types of Fixed-Circle Results on S-Metric Spaces
JULY 6, 2018 FRIDAY
18
14.30 – 16.10
Hall 4 Chair: Prof. Adela Mihai & Vice-Chair: Assoc. Prof. Sezai Kızıltuğ
Author(s) Abstract Title
Bahar Doğan, Sıddıka Özkaldı Karakuş
A Study on Rectifying Non-Null Curves in Minkowski 3-space
Özgür Keskin, Yusuf Yaylı Rotation Minimizing Frame and its Applications in 𝐸3
Sezai Kızıltuğ, Ali Çakmak, Gökhan Mumcu
Osculating Direction Curves and Applications
Melek Erdoğdu Parallel Frame of Nonlightlike Curves in Minkowski Space-time by Means of Lorentzian Rotations
Mustafa Altın, Zuhal Küçükarslan Yüzbaşı
A Generalization of Surfaces Family with Common Smarandache Asymptotic Curves in Galilean Space
14.30 – 16.10
Hall 5 Chair: Prof. Ahmet Yıldız & Vice-Chair: Assoc. Prof. Şenay Bulut
Author(s) Abstract Title
Yılmaz Gündüzalp A Note on Neutral Slant Submersions
Ahmet Sazak, Ahmet Yıldız Some Conditions on 3-Dimensional Quasi-Sasakian Manifolds with The Schouten-Van Kampen Connection
Ümit Yıldırım, Mehmet Atçeken, Süleyman Dirik
Anti-Invariant Semi-Parallel Submanifolds of a (LCS)n
Manifolds
Mehmet Gümüş, Çetin Camcı A Curve Theory in Sliced Almost Contact Metric Manifolds
Şenay Bulut D-homothetic Deformation on Almost Contact B-Metric Manifolds
14.30 – 16.10
Hall 6 Chair: Prof. Alper Osman Öğrenmiş & Vice-Chair: Assoc. Prof. Semra Kaya Nurkan
Author(s) Abstract Title
Mustafa Özdemir, İmren Akgül On the Square Roots of 2x2 Real Matrices
Mustafa Özdemir An Alternative Method for Finding n-th Roots of a 2x2 Real Matrix
Semra Kaya Nurkan, Sevim Dolaşır
A Note on Bicomplex Matrices
Emel Ünver Demir A Work on Homology Groups of Simple Closed H-Curves
JULY 6, 2018 FRIDAY
19
14.30 – 16.10
Hall 7 Chair: Prof. Cihan Özgür & Vice-Chair: Assoc. Prof. Sıddıka Özkaldı Karakuş
Author(s) Abstract Title
Duygu Dönmez Demir, B. Gültekin Sınır, Gülsüm Şanal
The Beam Models depending on Geometry of Deformed Beams
Kübra Erdem Biçer, Mehmet Sezer, Mustafa Kazaz
Bernoulli Polynomial Solutions of System of Frenet-Like Linear Differential Equations in Normal Form Arising from Differential Geometry
Seçil Özekinci, Simge Şimşek, Cansel Yormaz
Half Derivative Formulation for Fuzzy Space with Caputo Method
Ayşe Bayar, Ziya Akça, Süheyla Ekmekçi
On Intuitionistic Fuzzy Menelaus and Ceva Theorems
Fatma Karaca, Cihan Özgür On Semi Biharmonic Legendre Curves in Sasakian Space Forms
16.25 – 17.45
Conference Hall Chair: Prof. Kadri Arslan & Vice-Chair: Assoc. Prof. Ferdağ Kahraman Aksoyak
Author(s) Abstract Title
Kemal Eren, Soley Ersoy The Circling-Point Curve of Inverse Motion in Minkowski Plane
Harun Barış Çolakoğlu On the Pythagorean Theorem in The Generalized Taxicab Plane
Zeynep Çolak, Zeynep Can On Distance Formulae in Two Convex Dual Spaces
Ferdağ Kahraman Aksoyak, Sıddıka Özkaldı Karakuş
Some Applications of Generalized Bicomplex Numbers on Motions in Four Dimensional Spaces
16.25 – 17.45
Hall 1 Chair: Prof. Bengü Bayram & Vice-Chair: Assoc. Prof. Yılmaz Gündüzalp
Author(s) Abstract Title
Kadri Arslan, Bengü Bayram, Betül Bulca, Günay Öztürk
On Rotational Submanifolds in Euclidean Spaces
Yılmaz Gündüzalp On Clairaut Anti-invariant Semi-Riemannian Submersions
Hülya Aytimur, Cihan Özgür Statistical Submersions in Cosymplectic-like Statistical Manifolds
Fulya Şahin Relationships Between Symplectic Groupoids And Generalized Golden Manifolds
JULY 6, 2018 FRIDAY
20
16.25 – 17.45
Hall 2 Chair: Prof. Nihal Yılmaz Özgür & Vice-Chair: Assoc. Prof. Mustafa Özkan
Author(s) Abstract Title
Erkan Karakaş, Aydın Gezer Projective Vector Fields on the Tangent Bundle with respect to the Semi-symmetric Metric Connection
Ayşe Yavuz Taşçı, Füsun Özen Zengin
Pseudo Cyclic Z-Symmetric Manifold
Çağrı Karaman, Aydın Gezer Geometry of Statistical F-connections
Mustafa Özkan, Tuğba Tamirci The Geometry of Complex Golden Conjugate Connections
16.25 – 17.45
Hall 3 Chair: Prof. H. Bayram Karadağ & Vice-Chair: Assoc. Prof. Sıddıka Özkaldı Karakuş
Author(s) Abstract Title
Hakan Gündüz, Ahmet Kazan, H. Bayram Karadağ
Some Characterizations of Rotational Surfaces Generated by Cubic Hermitian Curves
Sıddıka Özkaldı Karakuş A Study on Constant Angle Surfaces Constructed on Curves in Minkowski 3-Space
Ayşe Yavuz, Fatma Ateş, Yusuf Yaylı
Surfaces with Constant Slope According to Darboux Frame
Furkan Yıldırım Diagonal Lift Problems in the Semi-tangent Bundle
16.25 – 17.45
Hall 4 Chair: Prof. Mahmut Ergüt & Vice-Chair: Assoc. Prof. Müge Karadağ
Author(s) Abstract Title
Muhittin Evren Aydın, Alper Osman Öğrenmiş, Mahmut Ergüt
Translation Hypersurfaces in Isotropic Spaces
Ayla Erdur, Muhittin Evren Aydın, Mahmut Ergüt
On Affine Factorable Surfaces
Alper Osman Öğrenmiş, Muhittin Evren Aydın, Mihriban Külahcı
Translation surfaces in Galilean Spaces
Mustafa Altın, Müge Karadağ, H. Bayram Karadağ
Some Characterizations of Curves in Spaces with Density
JULY 6, 2018 FRIDAY
21
16.25 – 17.45
Hall 5 Chair: Prof. Ayşe Bayar & Vice-Chair: Assoc. Prof. Nural Yüksel
Author(s) Abstract Title
Elif Altıntaş, Ayşe Bayar, Ziya Akça, Süheyla Ekmekçi
On the Affine Planes Embedded in 𝑁𝐹𝑃𝐺(2,9)
Süheyla Ekmekçi, Ayşe Bayar, Fatma Bekmez Kazanç, Ziya Akça
On Fuzzy Line Spreads
Elif Altıntaş, Ayşe Bayar, Ziya Akça, Süheyla Ekmekçi
On Some Properties of the (6,2)-arc in 𝑁𝐹𝑃𝐺(2,9)
16.25 – 17.45
Hall 6 Chair: Prof. Mustafa Çalışkan & Vice-Chair: Assoc. Prof. Yılmaz Tunçer
Author(s) Abstract Title
Çetin Camcı On the Construction of Bertrand Curves
Selçuk Baş, Zeliha Körpınar, Handan Öztekin, Talat Körpınar
A New Approach for Inextensible Flows with Modified KdV Flow
Yılmaz Tunçer, Hüseyin Kocayiğit, Murat Kemal Karacan
Indicatrices of the Curves in Affine 3-Space
Yılmaz Tunçer, Hüseyin Kocayiğit, Murat Kemal Karacan, Hatice Çümen
Special Curves in Euclidean 3-Space
16.25 – 17.45
Hall 7 Chair: Prof. Ahmet Yücesan & Vice-Chair: Assist. Prof. Gözde Özkan Tükel
Author(s) Abstract Title
Şerife Naz Elmas, Simge Şimşek, Cansel Yormaz
Quaternionic and Split Quaternionic Principal Curvatures and Principal Directions
Tanju Kahraman A Study on Null Quaternionic Curves in Minkowski Spaces
Tanju Kahraman, Pınar Balkı Okullu
A Study on Differential Equations of Null Quaternionic Curves
Gözde Özkan Tükel, Tunahan Turhan, Ahmet Yücesan
Hyperelastic Curves in 𝑆𝑂(3)
POSTER PRESENTATIONS
22
*Poster presentations will be presented at 14.30/July 4-5-6, 2018.
Author(s) Abstract Title
Atilla Akpınar On A Class of Finite Projective Klingenberg Planes
Tuğba Baysal, Mustafa Çalışkan
On Ruled Surface Pair Generated by Darboux Vectors of a Curve and Its Natural Lift in Dual Space
Mustafa Çalışkan, Yağmur Akbaba
M̅- Geodesic Spray and M̅- Integral Curve in The Dual Space
Latife Özyurt, Mustafa Çalışkan Ruled Surfaces with Striction Scroll in Dual Space
Bilgesu Kartal, Mustafa Çalışkan
Some Characterizations for Konoidal Ruled Surfaces
Hakan Öztürk, Özgür Kalkan, Sermin Öztürk, Murat Esendemir
On Almost alpha-Cosymplectic Pseudo-Metric Manifolds
Hakan Öztürk, Sermin Öztürk, Özgür Kalkan
On Almost alpha-Cosymplectic Manifolds
Özgür Kalkan, Hakan Öztürk, Damla Zeybek
On Smarandache Curves of Involute-Evolute Curve According to Frenet Frame in Minkowski 3-Space
Evren Ergün, Mustafa Çalışkan Ruled Surface Pair Generated by a Curve and its Natural Lift in 𝐼𝑅3
Keziban Orbay, Tevfik Şahin Mannheim Offsets of Ruled Surfaces Under the Symmetrical Helical Motions in 𝐸3
Ziya Akça On Fuzzy Hyperplanes of Fuzzy 5-Dimensional Projective Space
Süheyla Ekmekçi An Application for Fibered Projective Plane of Order 2
Ayşe Bayar On Isometrıes of 𝑅𝜋𝑛2
Ferdağ Kahraman Aksoyak Notes on Quaternionic Frame in 𝑅4
Elif Altıntaş On the Complete Arcs in 𝑁𝐹𝑃𝐺(2,9)
Neriman Acar, Ferdağ Kahraman Aksoyak
Translation Surfaces Generated by Spherical Indicatrices of Space Curves in Euclidean 3-Space
Ali Çakmak, Murat Kemal Karacan, Sezai Kızıltuğ, Hasan Es
Surfaces of Revolution in 𝐺3
Fatma Almaz, Mihriban Alyamaç Külahçı
Clairaut's Theorem on the Some Special Surfaces in Galilean Space
Osman Ateş, Seher Kaya, İsmail Gök, Yusuf Yaylı
Some Characterizations of Timelike Clad Helices in Minkowski 3-space
Yılmaz Tunçer Special Class of Curves in Affine 3-Space
Burak Şahiner Some Special Curves Associated with Spherical Image of a Curve of Constant Precession