Comparison Theorems in Riemannian Geometry
1975
American Mathematical Society (Verlag)
978-0-8218-4417-5 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-4417-5 (ISBN)
Focuses on the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry. This title begins with an introduction to Riemannian geometry, followed by an exposition of Toponogov's theorem. It then gives a presentation of homogeneous spaces in which the main goal is to find formulas for their curvature.
Basic concepts and results Toponogov's theorem Homogeneous spaces Morse theory Closed geodesics and the cut locus The sphere theorem and its generalizations The differentiable sphere theorem Complete manifolds of nonnegative curvature Compact manifolds of nonpositive curvature Bibliography Additional bibliography Index.
| Erscheint lt. Verlag | 30.4.2008 |
|---|---|
| Reihe/Serie | Chelsea Publications |
| Zusatzinfo | Illustrations |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 467 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-8218-4417-2 / 0821844172 |
| ISBN-13 | 978-0-8218-4417-5 / 9780821844175 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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