V. N. Berestovskii, I. A. Zubareva, “Locally isometric coverings of the Lie group $\mathrm{SO}_0(2,1)$ with special sub-Riemannian metric”, Sb. Math., 207:9 (2016), 1215

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Sbornik: Mathematics, 2016, Volume 207, Issue 9, Pages 1215–1235
DOI: https://doi.org/10.1070/SM8598 (Mi sm8598)

This article is cited in 6 scientific papers (total in 6 papers)

Locally isometric coverings of the Lie group $\mathrm{SO}_0(2,1)$ with special sub-Riemannian metric

V. N. Berestovskii^a, I. A. Zubareva^b

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

English version PDF (578 kB) Citations (6) Russian version article

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DOI: https://doi.org/10.1070/SM8598

Abstract: We find geodesics, shortest arcs, conjugate sets, cut loci, and distances on locally isometric coverings of the Lie group $\mathrm{SO}_0(2,1)$ with a left-invariant sub-Riemannian metric which is right-invariant with respect to the Lie subgroup $1\oplus \mathrm{SO}(2)\subset \mathrm{SO}_0(2,1)$.
Bibliography: 18 titles.

Keywords: geodesic, geodesic orbit space, invariant sub-Riemannian metric, shortest arc, covering space, weakly symmetric space.

Funding agency	Grant number
Ministry of Education and Science of the Russian Federation	14.B25.31.0029 НШ-2263.2014.10
Russian Foundation for Basic Research	14-01-00068-a
The work was supported by a grant of the Government of the Russian Federation for the State Support of Scientific Research (agreement no. 14.B25.31.0029), by the Russian Foundation for Basic Research (grant no. 14-01-00068-a) and by the State Programme of the support of leading scientific schools of the Russian Federation (grant no. НШ-2263.2014.10).

Received: 07.09.2015 and 11.04.2016

Bibliographic databases:

Document Type: Article

UDC: 514.763+512.81+517.911

MSC: Primary 22E30; Secondary 53C17

Language: English

Original paper language: Russian

Citation: V. N. Berestovskii, I. A. Zubareva, “Locally isometric coverings of the Lie group $\mathrm{SO}_0(2,1)$ with special sub-Riemannian metric”, Sb. Math., 207:9 (2016), 1215–1235

Citation in format AMSBIB

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\yr 2016

\vol 207

\issue 9

\pages 1215--1235

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This publication is cited in the following 6 articles:

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