Conformal maps of Carnot groups
Differential Geometry
2013-12-24 v1
Abstract
If f is a conformal mapping defined on a connected open subset 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.
Keywords
Cite
@article{arxiv.1312.6423,
title = {Conformal maps of Carnot groups},
author = {Michael G. Cowling and Alessandro Ottazzi},
journal= {arXiv preprint arXiv:1312.6423},
year = {2013}
}