Invertible Carnot Groups

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-...

Full description

Bibliographic Details
Main Author: Freeman David M.
Format: Article
Language:English
Published: De Gruyter 2014-01-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.2478/agms-2014-0009