Riemannian Geometry
Peter Petersen
This volume introduces techniques and theorems of Riemannian geometry, and opens the way to advanced topics. The text combines the geometric parts of Riemannian geometry with analytic aspects of the theory, and reviews recent research. The updated second edition includes a new coordinate-free formula that is easily remembered (the Koszul formula in disguise); an expanded number of coordinate calculations of connection and curvature; general fomulas for curvature on Lie Groups and submersions; variational calculus integrated into the text, allowing for an early treatment of the Sphere theorem using a forgotten proof by Berger; recent results regarding manifolds with positive curvature.
Կատեգորիաներ:
Տարի:
1998
Հրատարակում:
2nd
Հրատարակչություն:
Springer New York
Լեզու:
english
Էջեր:
420
ISBN 10:
0387292462
Սերիաներ:
Graduate Texts in Mathematics 171
Ֆայլ:
PDF, 3.43 MB
IPFS:
,
english, 1998