(LOCALLY) SHORTEST ARCS OF A SPECIAL SUB-RIEMANNIAN METRIC ON THE LIE GROUP SO0(2,1)

被引：9

作者：

Berestovskii, V. N. ^{[1
]}

机构：

[1] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk 117901, Russia

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2016年 / 27卷 / 01期

关键词：

Geodesic; Lie algebra; Lie group; left-invariant sub-Riemannian metric; shortest arc;

D O I：

10.1090/spmj/1373

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The geodesics, shortest arcs, cut loci, and conjugate sets are found for a left-invariant sub-Riemannian metric on the Lie group SO0(2, 1) under the condition that the metric is right-invariant relative to the Lie subgroup SO(2) subset of SO0(2, 1).

引用

页码：1 / 14

页数：14

共 27 条

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[22] WHETHER OR NOT SOME REPRESENTATIONS OF GROUP SO0(2N,1) BELONG TO DISCRETE SERIES
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