Metric Structures in Differential Geometry

You must be logged in to access this title.

Sign up now

Already a member? Log in

Synopsis

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

Edition:
2004
Series:
Graduate Texts in Mathematics (Book 224)
Author:
Gerard Walschap
ISBN:
9780387218267
Related ISBNs:
9780387204307
Publisher:
Springer New York
Pages:
N/A
Reading age:
Not specified
Includes images:
No
Date of addition:
2021-02-07
Usage restrictions:
Copyright
Copyright date:
2004
Copyright by:
N/A 
Adult content:
No
Language:
English
Categories:
Mathematics and Statistics, Nonfiction