
1997
First Published
4.35
Average Rating
244
Number of Pages
Part of Series
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 the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Avg Rating
4.35
Number of Ratings
52
5 STARS
52%
4 STARS
33%
3 STARS
13%
2 STARS
2%
1 STARS
0%
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Author

John M. Lee
Author · 3 books
John M. (Jack) Lee is Professor Emeritus of Mathematics at the University of Washington.