Geodesic
Invertible Carnot Groups
Analysis and Geometry in Metric Spaces, Tome 2 (2014) no. 1.

Voir la notice de l'article provenant de la source The Polish Digital Mathematics Library

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.
Mots-clés : metric inversion, bi-Lipschitz homogeneity, Carnot groups 
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     author = {Freeman, David M.},
     title = {Invertible {Carnot} {Groups}},
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     zbl = {1318.53023},
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     url = {http://geodesic.mathdoc.fr/item/AGMS_2014_2_1_a0/}
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Freeman, David M. Invertible Carnot Groups. Analysis and Geometry in Metric Spaces, Tome 2 (2014) no. 1. http://geodesic.mathdoc.fr/item/AGMS_2014_2_1_a0/