GLOBAL CONTACT AND QUASICONFORMAL MAPPINGS OF CARNOT GROUPS

被引：4
|
作者：
Cowling, Michael G. [1 ]
Ottazzi, Alessandro [2 ]
机构：
[1] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
[2] Fdn Bruno Kessler, CIRM, Via Sommarive 15, I-38123 Trento, Italy
来源：
CONFORMAL GEOMETRY AND DYNAMICS | 2015年 / 19卷
基金：
澳大利亚研究理事会;
关键词：
Carnot groups; quasiconformal mappings; contact mappings;
D O I：
10.1090/ecgd/282
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that globally defined quasiconformal mappings of rigid Carnot groups are affine, but that globally defined contact mappings of rigid Carnot groups need not be quasiconformal, and a fortiori not affine.
引用
收藏
页码：221 / 239
页数：19
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