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

Autor:	Berestovskii, V., Zubareva, I.
Rok vydání:	2015
Předmět:	Mathematics - Differential Geometry 22E30 49J15 53C17
Druh dokumentu:	Working Paper
Popis:	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 $(SL(2)\times SO(2))/SO(2)$). Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1507.07221 Zobrazit plný text záznamu View this record from Arxiv