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.
Book Details
Format
Kindle
Pages
240 pages
Language
English
Published
Aug 23, 2012
Publisher
Springer
Editions
4 editions
ISBN-10
0387218262
ISBN-13
9780387218267