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arXiv · 1410.1525

(Locally) shortest arcs of special sub-Riemannian metric on the Lie group $SO_0(2,1)$

Valera Berestovskii
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Abstract

The author finds geodesics, shortest arcs, cut locus, and conjugate sets for left-invariant sub-Riemannian metric on the Lie group $SO_0(2,1)$ under the condition that the metric is right-invariant relative to the Lie subgroup $SO(2)\subset SO_0(2,1)$.

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Valera Berestovskii. 2014-10-06. (Locally) shortest arcs of special sub-Riemannian metric on the Lie group $SO_0(2,1)$. https://arxiv.org/abs/1410.1525

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