Contact and 1-quasiconformal maps on Carnot groups
Differential Geometry
2010-07-09 v3
Abstract
We characterize the rigidity of Carnot groups in the class of contact maps in terms of complex characteristics. Furthermore, we obtain a Liouville type theorem for Carnot groups which states that 1-quasiconformal maps form finite dimensional Lie groups.
Keywords
Cite
@article{arxiv.1001.3817,
title = {Contact and 1-quasiconformal maps on Carnot groups},
author = {A. Ottazzi and B. Warhurst},
journal= {arXiv preprint arXiv:1001.3817},
year = {2010}
}
Comments
Page 4, line 8 and followings: add references; Page 7, line 13: correct typo; Page 23: correct typo in the title of reference [13]; Page 14, last lines and Page 15, first lines: correct typos and improve clarity of notations; Page 18,19: introduced two new notations