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Geodesics and Shortest Arcs of Some Sub-Riemannian Metrics on the Lie Groups SU(2)×R and SO(3)×R with Three-Dimensional Generating Distributions Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2023, Volume: 64, Number: 3, Pages: 575–592 Pages count : 18 DOI: 10.1134/S0037446623030060
Tags geodesic, left-invariant sub-Riemannian metric, Lie algebra, Lie group, shortest arc, cut locus, first conjugate locus
Authors Zubareva I.A. 1
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, Russia

Funding (1)

1 Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН». FWNF-2022-0003

Abstract: We find geodesics, shortest arcs, cut loci, first conjugate loci, and distances between arbitrary elements for some left-invariant sub-Riemannian metrics on the Lie groups SU(2)×R and SO(3)×R
Cite: Zubareva I.A.
Geodesics and Shortest Arcs of Some Sub-Riemannian Metrics on the Lie Groups SU(2)×R and SO(3)×R with Three-Dimensional Generating Distributions
Siberian Mathematical Journal. 2023. V.64. N3. P.575–592. DOI: 10.1134/S0037446623030060 WOS Scopus РИНЦ OpenAlex
Original: Зубарева И.А.
Геодезические и кратчайшие некоторых субримановых метрик на группах Ли SU(2)×R и SO(3)×R с трехмерными порождающими распределениями
Сибирский математический журнал. 2023. Т.64. №3. С.521–539. DOI: 10.33048/smzh.2023.64.306 РИНЦ
Dates:
Submitted: Nov 9, 2022
Accepted: Feb 21, 2023
Published print: May 24, 2023
Published online: Mar 31, 2024
Identifiers:
Web of science: WOS:000996393600006
Scopus: 2-s2.0-85160908009
Elibrary: 61579412
OpenAlex: W4377991030
Citing:
DB Citing
Web of science 1
Scopus 1
OpenAlex 1
Elibrary 1
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