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An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem

2007-08-08 Mathematics
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Release : 2007-08-08
Genre : Mathematics
Kind : eBook
Book Rating : 337/5 ( reviews)

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Book Synopsis An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem by : Luca Capogna

Download or read book An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem written by Luca Capogna. This book was released on 2007-08-08. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem

2009-09-03 Mathematics
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Release : 2009-09-03
Genre : Mathematics
Kind : eBook
Book Rating : 850/5 ( reviews)

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Book Synopsis An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem by : Luca Capogna

Download or read book An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem written by Luca Capogna. This book was released on 2009-09-03. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Trends in Geometric Analysis

2023-11-25 Mathematics
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Release : 2023-11-25
Genre : Mathematics
Kind : eBook
Book Rating : 161/5 ( reviews)

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Book Synopsis New Trends in Geometric Analysis by : Antonio Alarcón

Download or read book New Trends in Geometric Analysis written by Antonio Alarcón. This book was released on 2023-11-25. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide an overview of some of the progress made by the Spanish Network of Geometric Analysis (REAG, by its Spanish acronym) since its born in 2007. REAG was created with the objective of enabling the interchange of ideas and the knowledge transfer between several Spanish groups having Geometric Analysis as a common research line. This includes nine groups at Universidad Autónoma de Barcelona, Universidad Autónoma de Madrid, Universidad de Granada, Universidad Jaume I de Castellón, Universidad de Murcia, Universidad de Santiago de Compostela and Universidad de Valencia. The success of REAG has been substantiated with regular meetings and the publication of research papers obtained in collaboration between the members of different nodes. On the occasion of the 15th anniversary of REAG this book aims to collect some old and new contributions of this network to Geometric Analysis. The book consists of thirteen independent chapters, all of them authored by current members of REAG. The topics under study cover geometric flows, constant mean curvature surfaces in Riemannian and sub-Riemannian spaces, integral geometry, potential theory and Riemannian geometry, among others. Some of these chapters have been written in collaboration between members of different nodes of the network, and show the fruitfulness of the common research atmosphere provided by REAG. The rest of the chapters survey a research line or present recent progresses within a group of those forming REAG. Surveying several research lines and offering new directions in the field, the volume is addressed to researchers (including postdocs and PhD students) in Geometric Analysis in the large.

Isoperimetric Inequalities in Riemannian Manifolds

2023-10-06 Mathematics
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Release : 2023-10-06
Genre : Mathematics
Kind : eBook
Book Rating : 012/5 ( reviews)

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Book Synopsis Isoperimetric Inequalities in Riemannian Manifolds by : Manuel Ritoré

Download or read book Isoperimetric Inequalities in Riemannian Manifolds written by Manuel Ritoré. This book was released on 2023-10-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Comprehensive Introduction to Sub-Riemannian Geometry

2019-10-31 Mathematics
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Release : 2019-10-31
Genre : Mathematics
Kind : eBook
Book Rating : 35X/5 ( reviews)

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Book Synopsis A Comprehensive Introduction to Sub-Riemannian Geometry by : Andrei Agrachev

Download or read book A Comprehensive Introduction to Sub-Riemannian Geometry written by Andrei Agrachev. This book was released on 2019-10-31. Available in PDF, EPUB and Kindle. Book excerpt: Provides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications. For graduate students and researchers.

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