Sub-Riemannian problem on three dimensional solvable Lie group
Abstract
In this article we consider sub-Riemannian problem on three dimensional solvable Lie group. This is based on a construction of Hamiltonian structure for the geodesic flow of Carnot-Caratheodory metrics via the Pontryagin maximum principle.References
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[3] U.Boscain, F.Rossi, Invariant Carnot-Caratheodory metrics on S3, SO(3), SL(2) and lens spaces, - Preprint SISSA, 2007. - 24 p.
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[5] И.С.Градштейн, И.М.Рыжик, Таблицы интегралов, сумм, рядов и произведений, - М.: Физматгиз, 1963. - 1100 с.
[6] I.A.Taimanov, Integrable geodesic flows of non-holonomic metrics. // J.Dynam. Control Sistem 3(1997), - 129-147 p.
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