Differential geometry : bundles, connections, metrics and curvature / Clifford Henry Taubes.

Bundles, connections, metrics and curvature are the lingua franca of modern differential geometry and theoretical physics. Supplying graduate students in mathematics or theoretical physics with the fundamentals of these objects, this book would suit a one-semester course on the subject of bundles an...

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Bibliographic Details
Uniform Title:Oxford graduate texts in mathematics ; 23.
Main Author: Taubes, Clifford, 1954-
Language:English
Published: Oxford : Oxford University Press, 2011.
Series:Oxford graduate texts in mathematics ; 23.
Subjects:
Physical Description:xiii, 298 pages : illustrations ; 25 cm.
Format: Book

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100 1 |a Taubes, Clifford,  |d 1954-  |0 http://id.loc.gov/authorities/names/n80095384 
245 1 0 |a Differential geometry :  |b bundles, connections, metrics and curvature /  |c Clifford Henry Taubes. 
260 |a Oxford :  |b Oxford University Press,  |c 2011. 
300 |a xiii, 298 pages :  |b illustrations ;  |c 25 cm. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Oxford graduate texts in mathematics ;  |v 23 
504 |a Includes bibliographical references and 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 C[superscript n] 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. 
520 8 |a Bundles, connections, metrics and curvature are the lingua franca of modern differential geometry and theoretical physics. Supplying graduate students in mathematics or theoretical physics with the fundamentals of these objects, this book would suit a one-semester course on the subject of bundles and the associated geometry. 
650 0 |a Geometry, Differential.  |0 http://id.loc.gov/authorities/subjects/sh85054146 
830 0 |a Oxford graduate texts in mathematics ;  |v 23.  |0 http://id.loc.gov/authorities/names/n96121759 
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