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

2015/07/26 by Berestovskii, V., Zubareva, I.
#22E30 #49J15 #53C17 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1507.07221

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)⊂ SL(2) (in other words, for invariant sub-Riemannian metric on weakly symmetric space (SL(2)× SO(2))/SO(2)).

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