Differential geometry : bundles, connections, metrics and curvature

Differential geometry : bundles, connections, metrics and curvature

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Détails bibliographiques
Auteur principal : Taubes Clifford (Auteur)
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 :
Géométrie différentielle
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