Geodesic
Uniformity of $cc$-balls on some class of 2-step Carnot groups
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1182-1197

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For some class of 2-step Carnot groups $\Bbb H_{\alpha_1,\dots,\alpha_n}^1$ that includes Heizenberg groups we proved that Carnot-Carathéodory balls ($cc$-balls) of these groups are uniform domains. We studied the geometry of the set of points of $\Bbb H_{\alpha_1,\dots,\alpha_n}^1$ joined with identity element of $\Bbb H_{\alpha_1,\dots,\alpha_n}^1$ more than one Carnot-Carathéodory $cc$- shortest path.
Keywords: Carnot–Carathéodory shortest path, cc-ball, extremal, Heisenberg groups.
Mots-clés : uniform domain 
@article{SEMR_2018_15_a137,
     author = {A. V. Greshnov},
     title = {Uniformity of $cc$-balls on some class of 2-step {Carnot} groups},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1182--1197},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a137/}
}
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A. V. Greshnov. Uniformity of $cc$-balls on some class of 2-step Carnot groups. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1182-1197. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a137/