Riemannian manifolds: an introduction to curvature/
John M. Lee
- New York: Springer, c1997.
- xv, 224 p. : ill. ; 24 cm.
- (Graduate texts in mathematics), 176 .
1. What Is Curvature? -- 2. Review of Tensors, Manifolds, and Vector Bundles -- 3. Definitions and Examples of Riemannian Metrics -- 4. Connections -- 5. Riemannian Geodesics -- 6. Geodesics and Distance -- 7. Curvature -- 8. Riemannian Submanifolds -- 9. The Gauss-Bonnet Theorem -- 10. Jacobi Fields -- 11. Curvature and Topology.