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Geodesics and Shortest Arcs of Some Sub-Riemannian Metrics on the Lie Groups SU(1,1)×R and SO0(2,1)×R with Three-Dimensional Generating Distributions Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2024, Volume: 65, Number: 2, Pages: 295-315 Pages count : 21 DOI: 10.1134/s003744662402006x
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

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, and first conjugate loci for some left-invariant sub-Riemannian metrics on the Lie groups SU(1,1) × R and SO0(2,1) ×R.
Cite: Zubareva I.A.
Geodesics and Shortest Arcs of Some Sub-Riemannian Metrics on the Lie Groups SU(1,1)×R and SO0(2,1)×R with Three-Dimensional Generating Distributions
Siberian Mathematical Journal. 2024. V.65. N2. P.295-315. DOI: 10.1134/s003744662402006x WOS Scopus РИНЦ РИНЦ OpenAlex
Original: Зубарева И.А.
Геодезические и кратчайшие некоторых субримановых метрик на группах Ли SU(1,1)×R и SO0(2,1)×R с трехмерными порождающими распределениями
Сибирский математический журнал. 2024. Т.65. №2. С.295-317. DOI: 10.33048/smzh.2024.65.206 РИНЦ
Dates:
Submitted: May 11, 2023
Accepted: Jan 28, 2024
Published print: Mar 25, 2024
Published online: Mar 25, 2024
Identifiers:
Web of science: WOS:001256062900019
Scopus: 2-s2.0-85188534034
Elibrary: 67141993 | 67308248
OpenAlex: W4393166736
Citing: Пока нет цитирований
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