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Differential geometry : bundles, connections, metrics and curvature / Clifford Henry Taubes.
Author
Taubes, Clifford, 1954-
[Browse]
Format
Book
Language
English
Published/Created
Oxford : Oxford University Press, 2011.
Description
1 online resource (313 p.)
Availability
Available Online
Oxford Scholarship - Oxford University Press: Mathematics
Details
Subject(s)
Geometry, Differential
[Browse]
Series
Oxford graduate texts in mathematics ; 23.
[More in this series]
Oxford graduate texts in mathematics ; 23
[More in this series]
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.
Notes
Description based upon print version of record.
Bibliographic references
Includes bibliographical references and index.
Source of description
Description based on print version record.
Language note
English
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.
Show 16 more Contents items
ISBN
0-19-162178-1
OCLC
763156939
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Differential geometry : bundles, connections, metrics and curvature / Clifford Henry Taubes.
id
9969216443506421