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Comparison theorems in Riemannian geometry
The central theme of this book is the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry. The first five chapters are preparatory in nature. They begin with a very concise introduction to Riemannian geometry, followed by an exposition of Toponogo...
Autores principales: | , |
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Lenguaje: | eng |
Publicado: |
American Mathematical Society
2008
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Acceso en línea: | http://cds.cern.ch/record/2264132 |
_version_ | 1780954323015958528 |
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author | Cheeger, Jeff Ebin, David G |
author_facet | Cheeger, Jeff Ebin, David G |
author_sort | Cheeger, Jeff |
collection | CERN |
description | The central theme of this book is the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry. The first five chapters are preparatory in nature. They begin with a very concise introduction to Riemannian geometry, followed by an exposition of Toponogov's theorem-the first such treatment in a book in English. Next comes a detailed presentation of homogeneous spaces in which the main goal is to find formulas for their curvature. A quick chapter of Morse theory is followed by one on the injectivity radius. Chapters 6-9 deal with many of the most re |
id | cern-2264132 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2008 |
publisher | American Mathematical Society |
record_format | invenio |
spelling | cern-22641322021-04-21T19:13:40Zhttp://cds.cern.ch/record/2264132engCheeger, JeffEbin, David GComparison theorems in Riemannian geometryMathematical Physics and MathematicsThe central theme of this book is the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry. The first five chapters are preparatory in nature. They begin with a very concise introduction to Riemannian geometry, followed by an exposition of Toponogov's theorem-the first such treatment in a book in English. Next comes a detailed presentation of homogeneous spaces in which the main goal is to find formulas for their curvature. A quick chapter of Morse theory is followed by one on the injectivity radius. Chapters 6-9 deal with many of the most reAmerican Mathematical Societyoai:cds.cern.ch:22641322008 |
spellingShingle | Mathematical Physics and Mathematics Cheeger, Jeff Ebin, David G Comparison theorems in Riemannian geometry |
title | Comparison theorems in Riemannian geometry |
title_full | Comparison theorems in Riemannian geometry |
title_fullStr | Comparison theorems in Riemannian geometry |
title_full_unstemmed | Comparison theorems in Riemannian geometry |
title_short | Comparison theorems in Riemannian geometry |
title_sort | comparison theorems in riemannian geometry |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/2264132 |
work_keys_str_mv | AT cheegerjeff comparisontheoremsinriemanniangeometry AT ebindavidg comparisontheoremsinriemanniangeometry |