An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
| By: | Luca Capogna; Donatella Danielli; Scott D. Pauls; Jeremy Tyson |
| Publisher: | Springer Nature |
| Print ISBN: | 9783764381325 |
| eText ISBN: | 9783764381332 |
| Edition: | 0 |
| Copyright: | 2007 |
| Format: | Page Fidelity |
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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.