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.
- ISBN:
- 9781441919137
- 9781441919137
-
Category:
- Differential & Riemannian geometry
- Format:
- Paperback
- Publication Date:
-
29-11-2010
- Language:
- English
- Publisher:
- Springer-Verlag New York Inc.
- Country of origin:
- United States
- Pages:
- 229
- Dimensions (mm):
- 235x155x12mm
- Weight:
- 0.76kg
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