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Analysis and Geometry in Metric Spaces
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Analysis and Geometry in Metric Spaces
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Preprint . 2014
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Analysis and Geometry in Metric Spaces
Article . 2014
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Analysis and Geometry in Metric Spaces
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https://dx.doi.org/10.48550/ar...
Article . 2014
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Invertible Carnot Groups

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2014Embargo end date: 01 Jan 2014 English Publisher:Walter de Gruyter GmbHJournal:Analysis and Geometry in Metric Spaces, volume 2 (eissn: 2299-3274, Copyright policy )
Authors: David M. Freeman;

doi: 10.2478/agms-2014-0009 , 10.48550/arxiv.1408.4765

arXiv: http://arxiv.org/abs/1408.4765

Invertible Carnot Groups

Abstract

Abstract We characterize Carnot groups admitting a 1-quasiconformal metric inversion as the Lie groups of Heisenberg type whose Lie algebras satisfy the J2-condition, thus characterizing a special case of inversion invariant bi-Lipschitz homogeneity. A more general characterization of inversion invariant bi-Lipschitz homogeneity for certain non-fractal metric spaces is also provided.

Related Organizations
Keywords

QA299.6-433, Metric Geometry (math.MG), metric inversion, Mathematics - Metric Geometry, bi-lipschitz homogeneity, carnot groups, FOS: Mathematics, 53C17, 30L10, 30L05, Analysis

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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).
BIP!Citations provided by BIP!
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.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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Average
Average
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