Metric Structures in Differential Geometry
Gerard Walschap, "Metric Structures in Differential Geometry "
English | ISBN: 038720430X | 2004 | 229 pages | PDF | 7 MB
English | ISBN: 038720430X | 2004 | 229 pages | PDF | 7 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.