descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2015Embargo end date: 01 Jan 2013Publisher:Finnish Mathematical SocietyJournal:Annales Academiae Scientiarum Fennicae Mathematica, volume 40, pages 203-213 (issn: 1239-629X, eissn: 1798-2383,

Authors: Cowling, MG; Ottazzi, A;

doi: 10.5186/aasfm.2015.4008 , 10.48550/arxiv.1312.6423

arXiv: http://arxiv.org/abs/1312.6423

handle: 1959.4/unsworks_43931

Conformal maps of Carnot groups

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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.

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Keywords

Mathematics - Differential Geometry, 57S20, 30L10, 35R03, 53C23, anzsrc-for: 49 Mathematical Sciences, Differential Geometry (math.DG), anzsrc-for: 01 Mathematical Sciences, 49 Mathematical Sciences, FOS: Mathematics, 610, 510

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