Metric Structures in Differential Geometry

Metric Structures in Differential Geometry
Author: Gerard Walschap
Publisher: Springer Science & Business Media
Total Pages: 235
Release: 2012-08-23
Genre: Mathematics
ISBN: 0387218262


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This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres.


Metric Structures in Differential Geometry
Language: en
Pages: 235
Authors: Gerard Walschap
Categories: Mathematics
Type: BOOK - Published: 2012-08-23 - Publisher: Springer Science & Business Media

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This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential
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