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

By Luca Capogna

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.

• Format: Hardcover
• Language: English
• ISBN: 3764381329
• ISBN13: 9783764381325
• Release Date: April 2007
• Publisher: Birkhauser
• Length: 223 Pages
• Weight: 1.19 lbs.
• Dimensions: 0.7" x 6.3" x 9.2"