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This article is cited in 1 scientific paper (total in 1 paper)
Geodesics and shortest arcs of some sub-Riemannian metrics on the Lie groups $SU(2)\times{\Bbb R}$ and $SO(3)\times{\Bbb R}$ with three-dimensional generating distributions
I. A. Zubareva
Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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 $SU(2)\times{\Bbb R}$ and $SO(3)\times{\Bbb R}$.
Keywords:
geodesic, left-invariant sub-Riemannian metric, Lie algebra, Lie group, shortest arc, cut locus, first conjugate locus.
Received: 09.11.2022
Revised: 09.11.2022
Accepted: 21.02.2023
Citation:
I. A. Zubareva, “Geodesics and shortest arcs of some sub-Riemannian metrics on the Lie groups $SU(2)\times{\Bbb R}$ and $SO(3)\times{\Bbb R}$ with three-dimensional generating distributions”, Sibirsk. Mat. Zh., 64:3 (2023), 521–539
Linking options:
https://www.mathnet.ru/eng/smj7778 https://www.mathnet.ru/eng/smj/v64/i3/p521
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| Abstract page: | 122 | | Full-text PDF : | 5 | | References: | 36 | | First page: | 11 |
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