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.

引用

页码：203 / 213

页数：11

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