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Differential GeometryBundles, Connections, Metrics and Curvature$
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Clifford Henry Taubes

Print publication date: 2011

Print ISBN-13: 9780199605880

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199605880.001.0001

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Introduction to vector bundles

Introduction to vector bundles

Chapter:
(p.25) 3 Introduction to vector bundles
Source:
Differential Geometry
Author(s):

Clifford Henry Taubes

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199605880.003.0003

This chapter examines vector bundles. It begins with a standard definition of vector bundles, and this is followed by some first examples of vector bundles. It then discusses the tangent bundle with corresponding examples; and the cotangent bundle; bundle homomorphisms. Finally it looks at sections of vector bundles.

Keywords:   vector bundles, tangent bundle, cotangent bundle, bundle homomorphisms

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