Introduction to Riemannian manifolds / John M. Lee.

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Bibliographic Details
Main Author: Lee, John M., 1950- (Author)
Format: Book
Language:English
Published: Cham : Springer, [2018]
Edition:Second edition.
Series:Graduate texts in mathematics ; 176.
Subjects:
Table of Contents:
  • 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.