Metric Structures in Differential Geometry
| Author | : Gerard Walschap |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 235 |
| Release | : 2012-08-23 |
| ISBN-10 | : 9780387218267 |
| ISBN-13 | : 0387218262 |
| Rating | : 4/5 (262 Downloads) |
Book Synopsis Metric Structures in Differential Geometry by : Gerard Walschap
Download or read book Metric Structures in Differential Geometry written by Gerard Walschap and published by Springer Science & Business Media. This book was released on 2012-08-23 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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