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JOURNALS
// Matematicheskie Trudy
// Archive
Mat. Tr.,
2012
Volume 15,
Number 1,
Pages
120–128
(Mi mt230)
This article is cited 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
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.
UDC:
514.7
Received:
23.08.2011
Fulltext:
PDF file (187 kB)
References
Cited by
English version:
Siberian Advances in Mathematics, 2013,
23
:2,
99–105
Bibliographic databases:
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