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

Author
Taubes, Clifford, 1954- [Browse]
Format
Book
Language
English
Published/​Created
Oxford ; New York : Oxford University Press, ©2011.
Description
xiii, 298 pages : illustrations ; 24 cm

Availability

Copies in the Library

Location Call Number Status Location Service Notes
Lewis Library - Stacks QA641 .T38 2011 Browse related items Request

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    Summary note
    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.
    Bibliographic references
    Includes bibliographical references and index.
    Contents
    • 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.
    ISBN
    • 0199605882 ((hbk.))
    • 9780199605880 ((hbk.))
    • 9780199605873 pbk.)
    • 0199605874 ((pbk.))
    LCCN
    2011499898
    OCLC
    760133929
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