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arXiv · 1410.1251

(Locally) shortest arcs of special sub-Riemannian metric on the Lie group SO(3)

Valera Berestovskii·Irina Zubareva
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Abstract

The authors find geodesics, shortest arcs, diameter, cut locus, and conjugate sets for left-invariant sub-Riemannian metric on the Lie group SO(3), under condition that the metric is right-invariant relative to the Lie subgroup $SO(2)\subset SO(3)$.

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Valera Berestovskii, Irina Zubareva. 2014-10-28. (Locally) shortest arcs of special sub-Riemannian metric on the Lie group SO(3). https://arxiv.org/abs/1410.1251

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