Metric Structures In Differential Geometry
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Metric Structures in Differential Geometry
Author | : Gerard Walschap |
Publisher | : Springer Science & Business Media |
Total Pages | : 235 |
Release | : 2012-08-23 |
Genre | : Mathematics |
ISBN | : 0387218262 |
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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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