An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
| Autor: | Luca Capogna, Donatella Danielli, Scott D. Pauls, Jeremy Tyson |
|---|---|
| EAN: | 9783764381332 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 08.08.2007 |
| Kategorie: | |
| Schlagworte: | Cauchy-Riemann manifold Riemannian geometry Sobolev space contact geometry differential geometry evolution equations geometric measure theory immersions manifold minimal surface quasiconformal mapping sub-Riemannian geometry |
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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.