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

by Luca Capogna, Donatella Danielli, Scott D. Pauls

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.

240 pages, Kindle Edition

First published January 1, 2007