<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

Rigidity of quasiconformal maps on Carnot groups

Name: Rigidity of quasiconformal maps on Carnot groups
Creator: Xiangdong Xie
Keywords: 22E25, 30L10, 53C17, Mathematics - Complex Variables, 0103 physical sciences, FOS: Mathematics, Group Theory (math.GR), Complex Variables (math.CV), 0101 mathematics, Mathematics - Group Theory, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 06 Jun 2016Embargo end date: 01 Jan 2013Publisher:Cambridge University Press (CUP)Journal:Mathematical Proceedings of the Cambridge Philosophical Society, volume 162, pages 131-150 (issn: 0305-0041, eissn: 1469-8064,

Authors: Xiangdong Xie;

doi: 10.1017/s0305004116000487 , 10.48550/arxiv.1308.3028

arXiv: http://arxiv.org/abs/1308.3028

Rigidity of quasiconformal maps on Carnot groups

- Summary
- Subjects
- Metrics

Abstract

AbstractWe show that quasiconformal maps on many Carnot groups must be biLipschitz. In particular, this is the case for 2-step Carnot groups with reducible first layer. These results have implications for the rigidity of quasiisometries between negatively curved solvable Lie groups.

Related Organizations

University System of Ohio
United States
Bowling Green State University
United States

Keywords

22E25, 30L10, 53C17, Mathematics - Complex Variables, FOS: Mathematics, Group Theory (math.GR), Complex Variables (math.CV), Mathematics - Group Theory

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Green

bronze

Fields of Science (3) View all

Fields of Science