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.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Graduate Texts in Mathematics, 176 |
Release date: |
September 1997 |
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 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
Analytic geometry
|
LSN: |
0-387-98271-X |
Barcode: |
9780387982717 |
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