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.
Author: John M. Lee
Publisher: Springer
Published: 09/05/1997
Pages: 226
Binding Type: Hardcover
Weight: 1.16lbs
Size: 9.21h x 6.14w x 0.63d
ISBN13: 9780387982717
ISBN10: 038798271X
BISAC Categories:
- Mathematics | Geometry | Differential
- Mathematics | Geometry | Analytic
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