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 |
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| 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 |
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| Affiliations |
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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
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
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 |