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

V. Berestovskii; I. Zubareva

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arXiv · 1507.07221

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

V. Berestovskii·I. Zubareva

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Abstract

The authors found geodesics, shortest arcs, cut loci, and conjugate sets for left-invariant sub-Riemannian matric on the Lie group $SL(2)$, which is right-invariant relative to the Lie subgroup $SO(2)\subset SL(2)$ (in other words, for invariant sub-Riemannian metric on weakly symmetric space $(SL(2)\times SO(2))/SO(2)$).

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BibTeX RIS

V. Berestovskii, I. Zubareva. 2015-07-26. Geodesics and shortest arcs of special sub-Riemannian metric on the Lie group $SL(2)$. https://arxiv.org/abs/1507.07221

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