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

被引：0

作者：

V. N. Berestovskiĭ

I. A. Zubareva

机构：

[1] Sobolev Institute of Mathematics,

[2] Sobolev Institute of Mathematics,undefined

来源：

Siberian Mathematical Journal | 2016年 / 57卷

关键词：

cut locus; conjugate set; geodesic; geodesic orbit space; Lie algebra; Lie group; invariant sub-Riemannian metric; shortest arc; weakly symmetric space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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)).

引用

页码：411 / 424

页数：13

共 50 条

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