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

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

Hardcover

Series: Progress in Mathematics, Book 259

General MathematicsGeometry

ISBN10: 3764381329
ISBN13: 9783764381325
Publisher: Birkhauser
Published: Apr 17 2007
Pages: 223
Weight: 1.19
Height: 0.70 Width: 6.30 Depth: 9.20
Language: English

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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General Mathematics