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  3. Metric Structures in Differential Geometry (Repost)

Metric Structures in Differential Geometry (Repost)

Posted By: step778
Date: 3 Oct 2017 10:45:58
Metric Structures in Differential Geometry (Repost)

Gerard Walschap, "Metric Structures in Differential Geometry"
2004 | pages: 232 | ISBN: 038720430X | DJVU | 2,1 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 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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