Riemannian Geometry and Geometric Analysis
This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry. It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; t...
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2017, 2017
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| Edition: | 7th ed. 2017 |
| Series: | Universitext
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1 Riemannian Manifolds
- 2 Lie Groups and Vector Bundles
- 3 The Laplace Operator and Harmonic Differential Forms
- 4 Connections and Curvature
- 5 Geometry of Submanifolds
- 6 Geodesics and Jacobi Fields
- A Short Survey on Curvature and Topology
- 7 Symmetric Spaces and Kähler Manifolds
- 8 Morse Theory and Floer Homology
- 9 Harmonic Maps between Riemannian Manifolds
- 10 Harmonic Maps from Riemann Surfaces
- 11 Variational Problems from Quantum Field Theory
- A Linear Elliptic Partial Differential Equations
- B Fundamental Groups and Covering Spaces
- Bibliography
- Index