Differential geometry : bundles, connections, metrics and curvature
Enregistré dans:
Auteur principal : | |
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Format : | Livre |
Langue : | anglais |
Titre complet : | Differential geometry : bundles, connections, metrics and curvature / Clifford Henry Taubes |
Publié : |
New York :
Oxford university press
, cop. 2011 |
Description matérielle : | 1 vol. (XIII-298 p.) |
Collection : | Oxford graduate texts in mathematics ; 23 |
Sujets : | |
Documents associés : | Autre format:
Differential geometry |
- 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