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pdst11 sphere - HWhg94/pdst11/pdst11_sphere.pdf · §22. The Laplace Operator on the Sphere 22,1...

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Page 1: pdst11 sphere - HWhg94/pdst11/pdst11_sphere.pdf · §22. The Laplace Operator on the Sphere 22,1 The Laplace operator on a Riemannian manifold. 1) Let M a manifold with a Riemannian

Page 2: pdst11 sphere - HWhg94/pdst11/pdst11_sphere.pdf · §22. The Laplace Operator on the Sphere 22,1 The Laplace operator on a Riemannian manifold. 1) Let M a manifold with a Riemannian

Page 3: pdst11 sphere - HWhg94/pdst11/pdst11_sphere.pdf · §22. The Laplace Operator on the Sphere 22,1 The Laplace operator on a Riemannian manifold. 1) Let M a manifold with a Riemannian

Page 4: pdst11 sphere - HWhg94/pdst11/pdst11_sphere.pdf · §22. The Laplace Operator on the Sphere 22,1 The Laplace operator on a Riemannian manifold. 1) Let M a manifold with a Riemannian

Page 5: pdst11 sphere - HWhg94/pdst11/pdst11_sphere.pdf · §22. The Laplace Operator on the Sphere 22,1 The Laplace operator on a Riemannian manifold. 1) Let M a manifold with a Riemannian

Page 6: pdst11 sphere - HWhg94/pdst11/pdst11_sphere.pdf · §22. The Laplace Operator on the Sphere 22,1 The Laplace operator on a Riemannian manifold. 1) Let M a manifold with a Riemannian

Page 7: pdst11 sphere - HWhg94/pdst11/pdst11_sphere.pdf · §22. The Laplace Operator on the Sphere 22,1 The Laplace operator on a Riemannian manifold. 1) Let M a manifold with a Riemannian

Page 8: pdst11 sphere - HWhg94/pdst11/pdst11_sphere.pdf · §22. The Laplace Operator on the Sphere 22,1 The Laplace operator on a Riemannian manifold. 1) Let M a manifold with a Riemannian

Page 9: pdst11 sphere - HWhg94/pdst11/pdst11_sphere.pdf · §22. The Laplace Operator on the Sphere 22,1 The Laplace operator on a Riemannian manifold. 1) Let M a manifold with a Riemannian

Page 10: pdst11 sphere - HWhg94/pdst11/pdst11_sphere.pdf · §22. The Laplace Operator on the Sphere 22,1 The Laplace operator on a Riemannian manifold. 1) Let M a manifold with a Riemannian

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