(Locally) shortest arcs of special sub-Riemannian metric on the Lie group SO(3)
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🧮 math.DG
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metricarcsgroupshortestsub-riemannianauthorsconditionconjugate
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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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