Cover image for An introduction to the Heisenberg Group and the sub-Riemannian isoperimetric problem
Title:
An introduction to the Heisenberg Group and the sub-Riemannian isoperimetric problem
Series:
Progress in mathematics ; v.
Publication Information:
Basel : Birkhuser Verlag AG, 2007.
Physical Description:
xvi, 223 p. : ill., digital ; 24 cm.
ISBN:
9783764381332
General Note:
Available in online version
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Summary

Summary

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.