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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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.
Imprint | Springer-Verlag New York |
Country of origin | United States |
Series | Graduate Texts in Mathematics, 176 |
Release date | 2001 |
Availability | Expected to ship within 10 - 15 working days |
First published | 1997 |
Authors | John M. Lee |
Dimensions | 234 x 156 x 22mm (L x W x T) |
Format | Hardcover |
Pages | 226 |
Edition | 1997 ed. |
ISBN-13 | 978-0-387-98271-7 |
Barcode | 9780387982717 |
Categories | |
LSN | 0-387-98271-X |