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A metric characterization of Carnot groups

Name: A metric characterization of Carnot groups
Creator: Le Donne, Enrico
Keywords: Mathematics - Metric Geometry, FOS: Mathematics, Metric Geometry (math.MG), 0101 mathematics, Carnot groups; SubRiemannian geometry; Mathematics (all); Applied Mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 18 Sep 2014Embargo end date: 01 Jan 2013 Italy Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 143, pages 845-849 (issn: 0002-9939, eissn: 1088-6826,

Authors: Le Donne, Enrico;

doi: 10.1090/s0002-9939-2014-12244-1 , 10.48550/arxiv.1304.7493

arXiv: http://arxiv.org/abs/1304.7493

handle: 11568/978791

A metric characterization of Carnot groups

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Abstract

We give a short axiomatic introduction to Carnot groups and their subRiemannian and subFinsler geometry. We explain how such spaces can be metrically described as exactly those proper geodesic spaces that admit dilations and are isometrically homogeneous.

Country

Italy

Related Organizations

University of Pisa
Italy
University of Jyväskylä
Finland

Keywords

Mathematics - Metric Geometry, FOS: Mathematics, Metric Geometry (math.MG), Carnot groups; SubRiemannian geometry; Mathematics (all); Applied Mathematics

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	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).	19
	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.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%