(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

[1] Locally isometric coverings of the Lie group SO0(2,1) with special sub-Riemannian metric
Berestovskii, V. N.
Zubareva, I. A.
SBORNIK MATHEMATICS, 2016, 207 (09) : 1215 - 1235
[2] SUB-RIEMANNIAN DISTANCE ON THE LIE GROUP SO0(2,1)
Berestovskii, V. N.
Zubareva, I. A.
ST PETERSBURG MATHEMATICAL JOURNAL, 2017, 28 (04) : 477 - 489
[3] Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group SO(3)
Berestovskii, V. N.
Zubareva, I. A.
SIBERIAN MATHEMATICAL JOURNAL, 2015, 56 (04) : 601 - 611
[4] Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group SO(3)
V. N. Berestovskiĭ
I. A. Zubareva
Siberian Mathematical Journal, 2015, 56 : 601 - 611
[5] Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group SL(2)
V. N. Berestovskiĭ
I. A. Zubareva
Siberian Mathematical Journal, 2016, 57 : 411 - 424
[6] Geodesics and shortest arcs of a special sub-Riemannian metric on the Lie group SL(2)
Berestovskii, V. N.
Zubareva, I. A.
SIBERIAN MATHEMATICAL JOURNAL, 2016, 57 (03) : 411 - 424
[7] GEODESICS AND SHORTEST ARCS OF SOME SUB-RIEMANNIAN METRICS ON THE LIE GROUPS SU(1,1) x R AND SO0(2,1) x R WITH THREE-DIMENSIONAL GENERATING DISTRIBUTIONS
Zubareva, I. A.
SIBERIAN MATHEMATICAL JOURNAL, 2024, 65 (02) : 295 - 315
[8] RIEMANNIAN SUBMERSIONS OF SO0(2,1)
Byun, Taechang
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2021, 58 (06) : 1407 - 1419
[9] THE THEORY OF REPRESENTATIONS OF GROUPS SO0 (2,1) AND ISO0(2,1). WIGNER COEFFICIENTS OF THE GROUP SO0 (2,1)
Rajabov, B. A.
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2018, 8 (02): : 362 - 373
[10] The geodesic flow of a sub-Riemannian metric on a solvable Lie group
Mazhitova A.D.
Siberian Advances in Mathematics, 2013, 23 (2) : 99 - 105

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