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Matematicheskie Trudy, 2012, Volume 15, Number 1, Pages 120–128 (Mi mt230)  
This article is cited in 3 scientific papers (total in 3 papers)

The geodesic flow of a sub-Riemannian metric on a solvable lie group

A. D. Mazhitova

Al Farabi Kazakh State University, Almaty, Kazakhstan
Full-text PDF (187 kB) Citations (3)
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Abstract: We consider the sub-Riemannian problem on the three-dimensional solvable Lie group $\mathrm{SOLV}^+$. The problem is based on constructing a Hamiltonian structure for a given metric by the Pontryagin Maximum Principle.
Key words: sub-Riemannian geometry, left-invariant metric, Hamiltonian, geodesics.
Received: 23.08.2011
English version:
Siberian Advances in Mathematics, 2013, Volume 23, Issue 2, Pages 99–105
DOI: https://doi.org/10.3103/S1055134413020041
Bibliographic databases:
Document Type: Article
UDC: 514.7
Language: Russian
Citation: A. D. Mazhitova, “The geodesic flow of a sub-Riemannian metric on a solvable lie group”, Mat. Tr., 15:1 (2012), 120–128; Siberian Adv. Math., 23:2 (2013), 99–105
Citation in format AMSBIB
\Bibitem{Maz12}
\by A.~D.~Mazhitova
\paper The geodesic flow of a~sub-Riemannian metric on a~solvable lie group
\jour Mat. Tr.
\yr 2012
\vol 15
\issue 1
\pages 120--128
\mathnet{http://mi.mathnet.ru/mt230}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2984679}
\elib{https://elibrary.ru/item.asp?id=17718101}
\transl
\jour Siberian Adv. Math.
\yr 2013
\vol 23
\issue 2
\pages 99--105
\crossref{https://doi.org/10.3103/S1055134413020041}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    Abstract page:438
    Full-text PDF :168
    References:87
    First page:6
     
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