Differential geometry : bundles, connections, metrics and curvature

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Hlavní autor: Taubes, Clifford, 1954-
Médium: Livre papier
Jazyk:Anglais
Vydáno: Oxford : Oxford university press 2011.
Edice:Oxford graduate texts in mathematics 23
Témata:
Poznámka: 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
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490 1 |a Oxford graduate texts in mathematics  |v 23 
500 |a Réimpression : 2012 
504 |a Références bibliographiques en fin de chapitres. Index 
505 0 |a 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 
650 |a Géométrie différentielle 
776 0 |0 188989714  |t Differential geometry  |o bundles, connections, metrics and curvature  |f Clifford Henry Taubes  |c New York  |n Oxford university press  |d 2013  |s Oxford graduate texts in mathematics  |z 978-0-19-177491-1 
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