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

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

  • Author : Luca Capogna
  • Release Date : 2007-08-08
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 235
  • ISBN 13 : 3764381337
  • File Size : 91,91 MB

An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem by Luca Capogna PDF Summary

Book Description: 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.

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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 it