Cheeger Constant And Isoperimetric Inequalities On Riemannian Manifolds
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Cheeger Constant And Isoperimetric Inequalities On Riemannian Manifolds
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Author :
language : en
Publisher:
Release Date : 2005
Cheeger Constant And Isoperimetric Inequalities On Riemannian Manifolds written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Isoperimetric Inequalities In Riemannian Manifolds
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Author : Manuel Ritoré
language : en
Publisher: Springer Nature
Release Date : 2023-10-06
Isoperimetric Inequalities In Riemannian Manifolds written by Manuel Ritoré and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-06 with Mathematics categories.
This work gives a coherent introduction to isoperimetric inequalities in Riemannian manifolds, featuring many of the results obtained during the last 25 years and discussing different techniques in the area. Written in a clear and appealing style, the book includes sufficient introductory material, making it also accessible to graduate students. It will be of interest to researchers working on geometric inequalities either from a geometric or analytic point of view, but also to those interested in applying the described techniques to their field.
Isoperimetric Inequalities
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Author : Isaac Chavel
language : en
Publisher: Cambridge University Press
Release Date : 2001-07-23
Isoperimetric Inequalities written by Isaac Chavel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-23 with Mathematics categories.
This advanced introduction emphasizes the variety of ideas, techniques, and applications of the subject.
Curvature And Topology Of Riemannian Manifolds
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Author : Katsuhiro Shiohama
language : en
Publisher: Springer
Release Date : 2006-11-14
Curvature And Topology Of Riemannian Manifolds written by Katsuhiro Shiohama and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Eigenvalues In Riemannian Geometry
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Author : Isaac Chavel
language : en
Publisher: Academic Press
Release Date : 1984-11-07
Eigenvalues In Riemannian Geometry written by Isaac Chavel and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-11-07 with Mathematics categories.
The basic goals of the book are: (i) to introduce the subject to those interested in discovering it, (ii) to coherently present a number of basic techniques and results, currently used in the subject, to those working in it, and (iii) to present some of the results that are attractive in their own right, and which lend themselves to a presentation not overburdened with technical machinery.
Lectures On K Hler Groups
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Author : Pierre Py
language : en
Publisher: Princeton University Press
Release Date : 2025-03-25
Lectures On K Hler Groups written by Pierre Py and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-25 with Mathematics categories.
"A natural question that sits at the nexus of algebraic geometry, differential geometry, and geometric group theory is: which groups can be realized as fundamental groups of compact Kähler manifolds, called "Kähler groups"? Roughly speaking, the fundamental group of a manifold measures the number of "holes." Many restrictions are known, and many examples are known; but mathematicians are far from having a precise conjecture about which groups are Kähler. The question serves as a fruitful connection between several major areas of geometry and complex analysis. Py's book is an up-to-date pedagogical survey of the central theorems and methods for the study of Kähler groups including, where illuminating, detailed proofs. It includes results of Gromov, Schoen, Napier, Ramachandran, Corlette, Simpson, Delzant, Arapura, and Nori. The charm of the subject is that different methods yield information of different flavors, and the challenge is to draw these threads together. This book leans toward geometric group theory, but it gives a coherent account of great value to anyone interested in Kähler groups - and in Kähler manifolds more broadly. The emphasis is on unity and cross-fertilization among approaches"--
A Panoramic View Of Riemannian Geometry
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Author : Marcel Berger
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A Panoramic View Of Riemannian Geometry written by Marcel Berger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Riemannian geometry has today become a vast and important subject. This new book of Marcel Berger sets out to introduce readers to most of the living topics of the field and convey them quickly to the main results known to date. These results are stated without detailed proofs but the main ideas involved are described and motivated. This enables the reader to obtain a sweeping panoramic view of almost the entirety of the field. However, since a Riemannian manifold is, even initially, a subtle object, appealing to highly non-natural concepts, the first three chapters devote themselves to introducing the various concepts and tools of Riemannian geometry in the most natural and motivating way, following in particular Gauss and Riemann.
Spectral Geometry
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Author : Pierre H. Berard
language : en
Publisher: Springer
Release Date : 2006-11-14
Spectral Geometry written by Pierre H. Berard and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Concentration Functional Inequalities And Isoperimetry
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Author : Christian Houdré
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Concentration Functional Inequalities And Isoperimetry written by Christian Houdré 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.
The interactions between concentration, isoperimetry and functional inequalities have led to many significant advances in functional analysis and probability theory. Important progress has also taken place in combinatorics, geometry, harmonic analysis and mathematical physics, with recent new applications in random matrices and information theory. This will appeal to graduate students and researchers interested in the interplay between analysis, probability, and geometry.
Riemannian Geometry
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Author : Isaac Chavel
language : en
Publisher: Cambridge University Press
Release Date : 1995-01-27
Riemannian Geometry written by Isaac Chavel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-27 with Mathematics categories.
This book provides an introduction to Riemannian geometry, the geometry of curved spaces. Its main theme is the effect of the curvature of these spaces on the usual notions of geometry, angles, lengths, areas, and volumes, and those new notions and ideas motivated by curvature itself. Isoperimetric inequalities--the interplay of curvature with volume of sets and the areas of their boundaries--is reviewed along with other specialized classical topics. A number of completely new themes are created by curvature: they include local versus global geometric properties, that is, the interaction of microscopic behavior of the geometry with the macroscopic structure of the space. Also featured is an ambitious "Notes and Exercises" section for each chapter that will develop and enrich the reader's appetite and appreciation for the subject.