Isoperimetric Inequalities In Riemannian Manifolds

DOWNLOAD

Download Isoperimetric Inequalities In Riemannian Manifolds PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Isoperimetric Inequalities In Riemannian Manifolds book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Isoperimetric Inequalities In Riemannian Manifolds

DOWNLOAD
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.

Asymptotic Theory Of Finite Dimensional Normed Spaces

DOWNLOAD
Author : Vitali D. Milman
language : en
Publisher: Springer
Release Date : 2009-02-27

Asymptotic Theory Of Finite Dimensional Normed Spaces written by Vitali D. Milman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-27 with Mathematics categories.

This book deals with the geometrical structure of finite dimensional normed spaces, as the dimension grows to infinity. This is a part of what came to be known as the Local Theory of Banach Spaces (this name was derived from the fact that in its first stages, this theory dealt mainly with relating the structure of infinite dimensional Banach spaces to the structure of their lattice of finite dimensional subspaces). Our purpose in this book is to introduce the reader to some of the results, problems, and mainly methods developed in the Local Theory, in the last few years. This by no means is a complete survey of this wide area. Some of the main topics we do not discuss here are mentioned in the Notes and Remarks section. Several books appeared recently or are going to appear shortly, which cover much of the material not covered in this book. Among these are Pisier's [Pis6] where factorization theorems related to Grothendieck's theorem are extensively discussed, and Tomczak-Jaegermann's [T-Jl] where operator ideals and distances between finite dimensional normed spaces are studied in detail. Another related book is Pietch's [Pie].

Isoperimetric Inequalities

DOWNLOAD
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.

Asymptotic Theory Of Finite Dimensional Normed Spaces

DOWNLOAD
Author : Vitali D. Milman
language : en
Publisher: Springer Science & Business Media
Release Date : 1986-07

Asymptotic Theory Of Finite Dimensional Normed Spaces written by Vitali D. Milman 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 1986-07 with Mathematics categories.

Vol. 1200 of the LNM series deals with the geometrical structure of finite dimensional normed spaces. One of the main topics is the estimation of the dimensions of euclidean and l^n p spaces which nicely embed into diverse finite-dimensional normed spaces. An essential method here is the concentration of measure phenomenon which is closely related to large deviation inequalities in Probability on the one hand, and to isoperimetric inequalities in Geometry on the other. The book contains also an appendix, written by M. Gromov, which is an introduction to isoperimetric inequalities on riemannian manifolds. Only basic knowledge of Functional Analysis and Probability is expected of the reader. The book can be used (and was used by the authors) as a text for a first or second graduate course. The methods used here have been useful also in areas other than Functional Analysis (notably, Combinatorics).

Riemannian Geometry

DOWNLOAD
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.

Eigenvalues In Riemannian Geometry

DOWNLOAD
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.

Cheeger Constant And Isoperimetric Inequalities On Riemannian Manifolds

DOWNLOAD
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.

An Introduction To The Heisenberg Group And The Sub Riemannian Isoperimetric Problem

DOWNLOAD
Author : Luca Capogna
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-08

An Introduction To The Heisenberg Group And The Sub Riemannian Isoperimetric Problem written by Luca Capogna 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 2007-08-08 with Mathematics categories.

This book gives an up-to-date account of progress on Pansu's celebrated problem on the sub-Riemannian isoperimetric profile of the Heisenberg group. It also serves as an introduction to the general field of sub-Riemannian geometric analysis. It develops the methods and tools of sub-Riemannian differential geometry, nonsmooth analysis, and geometric measure theory suitable for attacks on Pansu's problem.

Geometric Inequalities

DOWNLOAD
Author : Yurii D. Burago
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Geometric Inequalities written by Yurii D. Burago 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 2013-03-14 with Mathematics categories.

A 1988 classic, covering Two-dimensional Surfaces; Domains on the Plane and on Surfaces; Brunn-Minkowski Inequality and Classical Isoperimetric Inequality; Isoperimetric Inequalities for Various Definitions of Area; and Inequalities Involving Mean Curvature.

New Trends On Analysis And Geometry In Metric Spaces

DOWNLOAD
Author : Fabrice Baudoin
language : en
Publisher: Springer Nature
Release Date : 2022-02-04

New Trends On Analysis And Geometry In Metric Spaces written by Fabrice Baudoin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-04 with Mathematics categories.

This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry. Authored by leading experts in their fields, the lectures present different approaches to research topics with the common background of a relevant underlying, usually non-Riemannian, geometric structure. In particular, the topics covered concern differentiation and functions of bounded variation in metric spaces, Sobolev spaces, and differential geometry in the so-called Carnot–Carathéodory spaces. The text is based on lectures presented at the 10th School on "Analysis and Geometry in Metric Spaces" held in Levico Terme (TN), Italy, in collaboration with the University of Trento, Fondazione Bruno Kessler and CIME, Italy. The book is addressed to both graduate students and researchers.