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.
Categories:
Year:
1998
Edition:
2nd
Publisher:
Springer New York
Language:
english
Pages:
420
ISBN 10:
0387292462
Series:
Graduate Texts in Mathematics 171
File:
PDF, 3.43 MB
IPFS:
,
english, 1998