Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group SL(2)

By V. Berestovskii, I. Zubareva. 2015

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The authors found geodesics, shortest arcs, cut loci, and conjugate sets for some leftinvariant sub-Riemannian metric on the Lie group SL(2) that is right-invariant relative to the Lie subgroup SO(2) ⊂ SL(2) (in other words, for invariant sub-Riemannian metric on weakly symmetric space (SL(2) × SO(2))/SO(2)).

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/3420765dc64a3da99029191fa1ae7da052ee81e8