ENGLISH

Riemannian manifolds. An introduction to curvature

By Lee J.M.

Book information

Publisher
Springer
Year
1997
ISBN
038798271X, 9780387982717
LCC
QA649 .L397 1997
Open Library ID
OL668731M
Language
english
Format
PDF
Filesize
1 MB (1104701 bytes)
Series
Graduate texts in mathematics 0176
Pages
243\243
Library
Kolxo3
Time added
2011-07-22 07:35:22

Description

This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.

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