Metric Structures in Differential Geometry (Repost)
Gerard Walschap, "Metric Structures in Differential Geometry"
English | 2004 | ISBN: 038720430X | DJVU | pages: 229 | 2.0 mb
English | 2004 | ISBN: 038720430X | DJVU | pages: 229 | 2.0 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.