An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
Author | : Luca Capogna |
Publisher | : Springer Science & Business Media |
Total Pages | : 235 |
Release | : 2007-08-08 |
ISBN-10 | : 9783764381332 |
ISBN-13 | : 3764381337 |
Rating | : 4/5 (32 Downloads) |
Download or read book An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem written by Luca Capogna and published by Springer Science & Business Media. This book was released on 2007-08-08 with total page 235 pages. 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.