Riemannian manifolds: an introduction to curvature/

Lee, John M.

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.

038798271X


Riemannian manifolds

516.73 / LEE/R
SIKKIM UNIVERSITY
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