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

2013

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DOI 10.3103/s1055134413020041
Data confidence 70 medium
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Abstract

We consider the sub-Riemannian problem on the three-dimensional solvable Lie group SOLV + . The problem is based on constructing a Hamiltonian structure for a given metric by the Pontryagin Maximum Principle.