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Riemannian geometry and geometric analysis /
| Autor principal: | |
|---|---|
| Formato: | Libro |
| Lenguaje: | English |
| Publicado: |
Heidelberg ; New York :
Springer,
©2011.
|
| Edición: | Sixth edition. |
| Colección: | Universitext.
|
| Materias: |
Tabla de Contenidos:
- 1. Riemannian manifolds
- 2. Lie groups and vector bundles
- 3. The Laplace operator and harmonic differential forms
- 4. Connections and curvature
- 5. Geodesics and Jacobi fields
- A short survey on curvature and topology
- 6. Symmetric spaces and Kähler manifolds
- 7. Morse theory and Floer homology
- 8. Harmonic maps between Riemannian manifolds
- 9. Harmonic maps from Riemann surfaces
- 10. Variational problems from quantum field theory
- A. Linear elliptic partial differential equations
- B. Fundamentals groups and covering spaces.