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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 5, Pages 1160–1166 (Mi smj2594)  
This article is cited in 1 scientific paper (total in 1 paper)

The normal sub-Riemannian geodesic flow on $E(2)$ generated by a left-invariant metric and a right-invariant distribution

A. D. Mazhitova

Al-Farabi Kazakh National University, Almaty, Kazakhstan
Full-text PDF (284 kB) Citations (1)
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Abstract: We consider a sub-Riemannian problem on the three-dimensional solvable Lie group $E(2)$ endowed with a left-invariant metric and a right-invariant distribution. The problem is based on construction of a Hamilton structure for the given metric by the Pontryagin maximum principle.
Keywords: sub-Riemannian geometry, right-invariant metric, Hamiltonian, geodesic.
Received: 25.11.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 5, Pages 948–953
DOI: https://doi.org/10.1134/S0037446614050127
Bibliographic databases:
Document Type: Article
UDC: 514.7
Language: Russian
Citation: A. D. Mazhitova, “The normal sub-Riemannian geodesic flow on $E(2)$ generated by a left-invariant metric and a right-invariant distribution”, Sibirsk. Mat. Zh., 55:5 (2014), 1160–1166; Siberian Math. J., 55:5 (2014), 948–953
Citation in format AMSBIB
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\paper The normal sub-Riemannian geodesic flow on $E(2)$ generated by a~left-invariant metric and a~right-invariant distribution
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\vol 55
\issue 5
\pages 1160--1166
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\pages 948--953
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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