Metric Structures in Differential Geometry

✍ Scribed by Gerard Walschap

Publisher: Springer
Year: 2004
Tongue: English
Leaves: 232
Series: Graduate Texts in Mathematics
Edition: Softcover reprint of hardcover 1st ed. 2004
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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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