Invertible Carnot Groups
Freeman David M.
Analysis and Geometry in Metric Spaces · 2014
doi:10.2478/agms-2014-0009 (opens in a new tab)
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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.
Abstract licence: CC BY
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