Metric Structures in Differential Geometry

Metric Structures in Differential Geometry

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Mar 18, 2004 · English · Hardcover (237 pages)
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Book Details

Format Hardcover
Pages 237
Language English
Published Mar 18, 2004
Publisher Springer
ISBN-10 038720430X
ISBN-13 9780387204307

Description

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 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.
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