Invertible Carnot Groups-Reference-Cited by-同舟云学术

Invertible Carnot Groups

Published:2014-01-01 Issue:1 Volume:2 Page:
ISSN:2299-3274
Container-title:Analysis and Geometry in Metric Spaces
language:en
Short-container-title:

Author:

Freeman David M.¹

Affiliation:

1. University of Cincinnati Blue Ash College, 9555 Plainfield Road, Cincinnati, Ohio 45236

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Analysis

Link

https://www.degruyter.com/document/doi/10.2478/agms-2014-0009/pdf

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5. [5] Stephen M. Buckley, David A. Herron, and Xiangdong Xie. Metric space inversions, quasihyperbolic distance, and uniform spaces. Indiana Univ. Math. J., 57(2):837-890, 2008.

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