Carnot群上的接触映射与1-拟共形映射
微分几何
2010-07-09 v3
摘要
我们通过复特征刻画了Carnot群在接触映射类中的刚性。此外，我们得到了Carnot群的一个Liouville型定理，该定理指出1-拟共形映射构成有限维李群。
引用
@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}
}
备注
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