Metric Structures in Differential Geometry Gerard Walschap

ISBN: 9780387204307

Published: March 18th 2004

Hardcover

229 pages


Description

Metric Structures in Differential Geometry  by  Gerard  Walschap

Metric Structures in Differential Geometry by Gerard Walschap
March 18th 2004 | Hardcover | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 229 pages | ISBN: 9780387204307 | 8.32 Mb

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 areMoreThis 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.



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