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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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(Locally) shortest arcs of a special sub-Riemannian metric on the Lie group $\mathrm {SO}_0(2,1)$
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by V. N. BerestovskiÄ­
Translated by: the author
St. Petersburg Math. J. 27 (2016), 1-14
DOI: https://doi.org/10.1090/spmj/1373
Published electronically: December 7, 2015
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Abstract:

The geodesics, shortest arcs, cut loci, and conjugate sets are found for a left-invariant sub-Riemannian metric on the Lie group $\mathrm {SO}_0(2,1)$ under the condition that the metric is right-invariant relative to the Lie subgroup $\mathrm {SO}(2)\subset \mathrm {SO}_0(2,1)$.
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Bibliographic Information
  • V. N. BerestovskiÄ­
  • Affiliation: Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences
  • Email: vberestov@inbox.ru
  • Received by editor(s): June 10, 2014
  • Published electronically: December 7, 2015
  • Additional Notes: Partially supported by RFBR (grant no.Ā 14-01-00068-p) and by a grant of the Government of the Russian Federation for the State Support of Scientific Research (agreement no. 14.B25.31.0029)
  • © Copyright 2015 American Mathematical Society
  • Journal: St. Petersburg Math. J. 27 (2016), 1-14
  • MSC (2010): Primary 22E30, 49J15, 53C17
  • DOI: https://doi.org/10.1090/spmj/1373
  • MathSciNet review: 3443263