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.
- ISBN10 6610189080
- ISBN13 9786610189083
- Publish Date 1 January 2004
- Publish Status Active
- Out of Print 9 February 2012
- Publish Country US
- Imprint Springer
- Format eBook
- Pages 232
- Language English