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.
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Original Russian Text Copyright © 2014 Mazhitova A.D.
The author was supported by Grant 1431/GF of the Ministry of Education and Science of the Republic of Kazakhstan and a Grant of the Government of the Russian Federation for the State Maintenance of Scientific Research (Agreement 14.B25.31.0029). Almaty.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 5, pp. 1160–1166, September–October, 2014.
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Mazhitova, A.D. The normal sub-Riemannian geodesic flow on E(2) generated by a left-invariant metric and a right-invariant distribution. Sib Math J 55, 948–953 (2014). https://doi.org/10.1134/S0037446614050127
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DOI: https://doi.org/10.1134/S0037446614050127