Introduction to Riemannian Manifolds
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portes grátis
Introduction to Riemannian Manifolds
Lee, John M.
Springer International Publishing AG
01/2019
437
Dura
Inglês
9783319917542
15 a 20 dias
840
Descrição não disponível.
Preface.- 1. What Is Curvature?.- 2. Riemannian Metrics.- 3. Model Riemannian Manifolds.- 4. Connections.- 5. The Levi-Cevita Connection.- 6. Geodesics and Distance.- 7. Curvature.- 8. Riemannian Submanifolds.- 9. The Gauss-Bonnet Theorem.- 10. Jacobi Fields.- 11. Comparison Theory.- 12. Curvature and Topology.- Appendix A: Review of Smooth Manifolds.- Appendix B: Review of Tensors.- Appendix C: Review of Lie Groups.- References.- Notation Index.- Subject Index.
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Riemannian geometry;curvature;manifold;differential geometry textbook;graduate mathematics textbook;Riemannian geometry course textbook;Riemannian metrics;geodesics;Levi-Cevita connection;Riemannian submanifolds;Gauss-Bonnet theorem;Jacobi fields;comparison theory;curvature and topology;tensor
Preface.- 1. What Is Curvature?.- 2. Riemannian Metrics.- 3. Model Riemannian Manifolds.- 4. Connections.- 5. The Levi-Cevita Connection.- 6. Geodesics and Distance.- 7. Curvature.- 8. Riemannian Submanifolds.- 9. The Gauss-Bonnet Theorem.- 10. Jacobi Fields.- 11. Comparison Theory.- 12. Curvature and Topology.- Appendix A: Review of Smooth Manifolds.- Appendix B: Review of Tensors.- Appendix C: Review of Lie Groups.- References.- Notation Index.- Subject Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
