An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem (Progress in Mathematics, #259)

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

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

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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.

  • ISBN13 9783764381325
  • Publish Date 17 April 2007 (first published 1 January 2007)
  • Publish Status Active
  • Publish Country CH
  • Imprint Birkhauser Verlag AG
  • Edition 2007 ed.
  • Format Hardcover
  • Pages 224
  • Language English