CONFORMAL MAPS OF CARNOT GROUPS

被引：13
|
作者：
Cowling, Michael G. [1 ]
Ottazzi, Alessandro [2 ]
机构：
[1] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
[2] Fdn Bruno Kessler, Ctr Int Ric Matemat, I-38123 Trento, Italy
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2015年 / 40卷 / 01期
基金：
澳大利亚研究理事会;
关键词：
Carnot groups; conformal mappings; Tanaka prolongation; HYPERSURFACES;
D O I：
10.5186/aasfm.2015.4008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
If f is a conformal mapping defined on a connected open subset Omega of a Carnot group G, then either f is the composition of a translation, a dilation and an isometry, or G is the nilpotent Iwasawa component of a real rank 1 simple Lie group S, and f arises from the action of S on G, viewed as an open subset of S/P, where P is a parabolic subgroup of G and NP is open and dense in S.
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页码：203 / 213
页数：11
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