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

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.

Publication Year: 2007
Imprint: Birkhäuser Basel
Format: H
Weight (Gram): 1150