Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing)

Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing)

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Titre:Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing)
La langue:Français
Nom de fichier:Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing) PDF EPUB AUDIOBOOK
ISBN:0821844172
Date de sortie:April 30, 2008
Nombre de pages:161 pages
Auteur:Jeffrey Cheeger
Éditeur:American Mathematical Society

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➤ Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing) PDF
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➤ Comparison Theorems in Riemannian Geometry (AMS Chelsea Publishing) AUDIOBOOK
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 relevant contributions to the subject in the years 1959 to 1974. These include the pinching (or sphere) theorem, Berger's theorem for symmetric spaces, the differentiable sphere theorem, the structure of complete manifolds of non-negative curvature, and finally, results about the structure of complete manifolds of non-positive curvature. Emphasis is given to the phenomenon of rigidity, namely, the...

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parison Theorems in Riemannian GeometryThe central theme of this book is the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry. The first ...
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COMPARISON THEOREMS RIEMANNIAN GEOMETRY parison Theorems in riemannian GeomeTry Jeff CheeGer DaviD G. ebin AMS ChelSeA PubliShing American Mathematical Society • Providence, Rhode Island
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parison theorems in Riemannian geometry E ThesesIm ersten Kapitel führen wir zunächst Grundkonzepte der Krümmung ein. Danach fassen wir die wichtigsten Resultate aus der Überlagerungstheorie zusammen.
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COMPARISON AND RIGIDITY THEOREMS IN SEMI RIEMANNIAN GEOMETRYCOMPARISON AND RIGIDITY THEOREMS IN SEMI RIEMANNIAN GEOMETRY LARS ANDERSSON AND RALPH HOWARDy Abstract. The comparison theory for the Riccati equation satis