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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...

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Detalles Bibliográficos
Autores principales: Cheeger, Jeff, Ebin, David G
Lenguaje:eng
Publicado: American Mathematical Society 2008
Materias:
Acceso en línea:http://cds.cern.ch/record/2264132
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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
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publishDate 2008
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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