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

Research paper by A. D. Mazhitova

Indexed on: 23 Oct '14Published on: 23 Oct '14Published in: Siberian Mathematical Journal



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.