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An Introduction to the Heisenberg Group and the Sub-riemannian Isoperimetric Problem, Hardback Book

An Introduction to the Heisenberg Group and the Sub-riemannian Isoperimetric Problem Hardback

Part of the Progress in Mathematics series

Hardback

Description

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.

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