Riemannian Manifolds An Introduction to Curvature /
This book is designed as a textbook for a one-quarter or one-semester graduate course on Riemannian geometry, for students who are familiar with topological and differentiable manifolds. It focuses on developing an intimate acquaintance with the geometric meaning of curvature. In so doing, it introd...
| Κύριος συγγραφέας: | |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
New York, NY :
Springer New York : Imprint: Springer,
1997.
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| Σειρά: | Graduate Texts in Mathematics,
176 |
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- What Is Curvature?
- Review of Tensors, Manifolds, and Vector Bundles
- Definitions and Examples of Riemannian Metrics
- Connections
- Riemannian Geodesics
- Geodesics and Distance
- Curvature
- Riemannian Submanifolds
- The Gauss-Bonnet Theorem
- Jacobi Fields
- Curvature and Topology.
