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

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

Part of the Progress in Mathematics series

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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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