Riemannian manifolds: an introduction to curvature/ John M. Lee
Material type: TextSeries: (Graduate texts in mathematics) ; 176Publication details: New York: Springer, c1997Description: xv, 224 p. : ill. ; 24 cmISBN: 038798271XSubject(s): Riemannian manifoldsDDC classification: 516.73
Contents:
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.
Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|
General Books | Central Library, Sikkim University | 516.73 LEE/R (Browse shelf(Opens below)) | Checked out | 05/06/2021 | P25287 |
Total holds: 0
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516.373 GRO/M Metric structures for Riemannian and non-Riemannian spaces/ | 516.5 Geometry in History | 516.54 AMM/G Geometry in ancient & medieval India/ | 516.73 LEE/R Riemannian manifolds: an introduction to curvature/ | 517 RUD/P Principles of Mathematical Analysis | 517.52 HEW/R Real and Abstract Analysis: A Modern Treatment of the Theory of Functions of a Real Variable. | 517.52 SIL/I Introductory real analysis/ |
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.
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