Metric Structures in Differential Geometry (Graduate Texts in Mathematics, 224, Band 224)

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 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.

Product details

EAN/ISBN:: 9781441919137
Edition:: Softcover reprint of the original 1st ed. 2004
Medium:: Paperback
Number of pages:: 240
Publication date:: 2010-02-19
Publisher:: Springer New York

EAN/ISBN:: 9781441919137
Edition:: Softcover reprint of the original 1st ed. 2004
Medium:: Paperback
Number of pages:: 240
Publication date:: 2010-02-19
Publisher:: Springer New York

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