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

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

An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem write by Luca Capogna. This book was released on 2007-08-08. An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem available in PDF, EPUB and Kindle. 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

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

An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem write by Luca Capogna. This book was released on 2009-09-03. An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem available in PDF, EPUB and Kindle. 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

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

New Trends in Geometric Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Trends in Geometric Analysis write by Antonio Alarcón. This book was released on 2023-11-25. New Trends in Geometric Analysis available in PDF, EPUB and Kindle. 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.

A Comprehensive Introduction to Sub-Riemannian Geometry

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

A Comprehensive Introduction to Sub-Riemannian Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Comprehensive Introduction to Sub-Riemannian Geometry write by Andrei Agrachev. This book was released on 2019-10-31. A Comprehensive Introduction to Sub-Riemannian Geometry available in PDF, EPUB and Kindle. Provides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications. For graduate students and researchers.

Pseudo-Differential Operators: Groups, Geometry and Applications

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Release : 2017-01-20
Genre : Mathematics
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Book Rating : 126/5 ( reviews)

Pseudo-Differential Operators: Groups, Geometry and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Pseudo-Differential Operators: Groups, Geometry and Applications write by M. W. Wong. This book was released on 2017-01-20. Pseudo-Differential Operators: Groups, Geometry and Applications available in PDF, EPUB and Kindle. This volume consists of papers inspired by the special session on pseudo-differential operators at the 10th ISAAC Congress held at the University of Macau, August 3-8, 2015 and the mini-symposium on pseudo-differential operators in industries and technologies at the 8th ICIAM held at the National Convention Center in Beijing, August 10-14, 2015. The twelve papers included present cutting-edge trends in pseudo-differential operators and applications from the perspectives of Lie groups (Chapters 1-2), geometry (Chapters 3-5) and applications (Chapters 6-12). Many contributions cover applications in probability, differential equations and time-frequency analysis. A focus on the synergies of pseudo-differential operators with applications, especially real-life applications, enhances understanding of the analysis and the usefulness of these operators.