(Locally) shortest arcs of special sub-Riemannian metric on the Lie group SO0(2,1)
Abstract
The author finds geodesics, shortest arcs, cut locus, and conjugate sets for left-invariant sub-Riemannian metric on the Lie group SO0(2,1) under the condition that the metric is right-invariant relative to the Lie subgroup SO(2)⊂ SO0(2,1).
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