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

Luca Capogna , Donatella Danielli , Scott D. Pauls , Jeremy Tyson

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...