Differential geometry : bundles, connections, metrics and curvature
Gorde:
| Egile nagusia: | |
|---|---|
| Formatua: | Livre papier |
| Hizkuntza: | Anglais |
| Argitaratua: |
Oxford :
Oxford university press
2011.
|
| Saila: | Oxford graduate texts in mathematics
23 |
| Gaiak: | |
| Oharra: |
Réimpression : 2012 |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Differential geometry, bundles, connections, metrics and curvature, Clifford Henry Taubes, New York, Oxford university press, 2013, Oxford graduate texts in mathematics, 978-0-19-177491-1 |
Aurkibidea:
- 1. Smooth manifolds
- 2. Matrices and lie groups
- 3. Introduction to vector bundles
- 4. Algebra of vector bundles
- 5. Maps and vector bundles
- 6. Vector bundles with Cn as fiber
- 7. Metrics on vector bundles
- 8. Geodesics
- 9. Properties of geodesics
- 10. Principal bundles
- 11. Covariant derivatives and connections
- 12. Covariant derivatives, connections and curvature
- 13. Flat connections and holonomy
- 14. Curvature polynomials and characteristic classes
- 15. Covariant derivatives and metrics
- 16. The Riemann curvature tensor
- 17. Complex manifolds
- 18. Holomorphic submanifolds, holomorphic sections and curvature
- 19. The Hodge star