Title: Introduction to Riemannian manifolds /
Authors: Lee, John M., 1950-
Year: 2018
Subjects: Riemannian manifolds.; Riemannian manifolds
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.