Uniformity of cc-balls on some class of 2-step Carnot groups [РАВНОМЕРНОСТЬ cc-ШАРОВ НА ОДНОМ КЛАССЕ 2-СТУПЕНЧАТЫХ ГРУПП КАРНО]

Uniformity of cc-balls on some class of 2-step Carnot groups [РАВНОМЕРНОСТЬ cc-ШАРОВ НА ОДНОМ КЛАССЕ 2-СТУПЕНЧАТЫХ ГРУПП КАРНО] Full article

Journal

Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304

Output data

Year: 2018, Volume: 15, Pages: 1182-1197 Pages count : 16 DOI: 10.17377/semi.2018.15.096

Tags

Carnot-Carathéodory shortest path; Cc-ball; Extremal; Heisenberg groups; Uniform domain

Authors

Greshnov A.V. ^1,2

Affiliations

1	Novosibirsk State University, Ul. Pirogova, 1, Novosibirsk, 630090, Russian Federation
2	Sobolev Institute of Mathematics, Pr. Koptyuga, 4, Novosibirsk, 630090, Russian Federation

For some class of 2-step Carnot groups H α1,...,αn 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 H α1,...,αn 1 joined with identity element of H α1,...,αn 1 more than one Carnot-Carathéodory cc- shortest path. © 2018 Sobolev Institute of Mathematics.

Greshnov A.V.
Uniformity of cc-balls on some class of 2-step Carnot groups [РАВНОМЕРНОСТЬ cc-ШАРОВ НА ОДНОМ КЛАССЕ 2-СТУПЕНЧАТЫХ ГРУПП КАРНО]
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2018. V.15. P.1182-1197. DOI: 10.17377/semi.2018.15.096 WOS Scopus

Web of science:	WOS:000454860200038
Scopus:	2-s2.0-85061528749

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