Metric Structures in Differential Geometry
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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.
Format
Kindle
Seiten
240 Seiten
Sprache
Englisch
Veröffentlicht
Aug 23, 2012
Verlag
Springer
Ausgaben
4 editions
ISBN-10
0387218262
ISBN-13
9780387218267