Surveys In Differential Geometry Metric

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Surveys In Differential Geometry Metric

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Author : Cheeger & Grove
language : en
Publisher:
Release Date : 2010-04-30

Surveys In Differential Geometry Metric written by Cheeger & Grove and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-30 with categories.

Surveys In Differential Geometry

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Author :
language : en
Publisher:
Release Date : 2007

Surveys In Differential Geometry written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.

Surveys In Differential Geometry

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Author : Shing-Tung Yau
language : en
Publisher:
Release Date : 2003

Surveys In Differential Geometry written by Shing-Tung Yau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Algebraic topology categories.

Surveys In Differential Geometry

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Author : Huai-Dong Cao
language : en
Publisher:
Release Date : 2009

Surveys In Differential Geometry written by Huai-Dong Cao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.

Surveys In Geometry I

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Author : Athanase Papadopoulos
language : en
Publisher: Springer Nature
Release Date : 2022-02-18

Surveys In Geometry I written by Athanase Papadopoulos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-18 with Mathematics categories.

The volume consists of a set of surveys on geometry in the broad sense. The goal is to present a certain number of research topics in a non-technical and appealing manner. The topics surveyed include spherical geometry, the geometry of finite-dimensional normed spaces, metric geometry (Bishop—Gromov type inequalities in Gromov-hyperbolic spaces), convexity theory and inequalities involving volumes and mixed volumes of convex bodies, 4-dimensional topology, Teichmüller spaces and mapping class groups actions, translation surfaces and their dynamics, and complex higher-dimensional geometry. Several chapters are based on lectures given by their authors to middle-advanced level students and young researchers. The whole book is intended to be an introduction to current research trends in geometry.

Metrics Of Positive Scalar Curvature And Generalised Morse Functions Part I

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Author : Mark P. Walsh
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Metrics Of Positive Scalar Curvature And Generalised Morse Functions Part I written by Mark P. Walsh and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

It is well known that isotopic metrics of positive scalar curvature are concordant. Whether or not the converse holds is an open question, at least in dimensions greater than four. The author shows that for a particular type of concordance, constructed using the surgery techniques of Gromov and Lawson, this converse holds in the case of closed simply connected manifolds of dimension at least five.

Fredholm Operators And Einstein Metrics On Conformally Compact Manifolds

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Author : John M. Lee
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Fredholm Operators And Einstein Metrics On Conformally Compact Manifolds written by John M. Lee and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

"Volume 183, number 864 (end of volume)."

Comparison Theorems In Riemannian Geometry

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Author : Jeff Cheeger
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-04-08

Comparison Theorems In Riemannian Geometry written by Jeff Cheeger and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-08 with Mathematics categories.

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 fact that although the conclusions which hold under the assumption of some strict inequality on curvature can fail when the strict inequality on curvature can fail when the strict inequality is relaxed to a weak one, the failure can happen only in a restricted way, which can usually be classified up to isometry. Much of the material, particularly the last four chapters, was essentially state-of-the-art when the book first appeared in 1975. Since then, the subject has exploded, but the material covered in the book still represents an essential prerequisite for anyone who wants to work in the field.

Surveys In Differential Geometry

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Author : Chuan-Chih Hsiung
language : en
Publisher:
Release Date : 1991

Surveys In Differential Geometry written by Chuan-Chih Hsiung and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.

Contains papers presented at a conference organized by the editors of the ""Journal of Differential Geometry"" which featured speakers representing algebraic geometry and mathematical physics, among other areas.

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Author :
language : en
Publisher: World Scientific
Release Date :

written by and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.