On Invariant Matsumoto Metrics

被引：0
|
作者：
Parhizkar, Mojtaba [1 ]
Latifi, Dariush [1 ]
机构：
[1] Univ Mohaghegh Ardabili, Dept Math, POB 5619911367, Ardebil, Iran
来源：
VIETNAM JOURNAL OF MATHEMATICS | 2019年 / 47卷 / 02期
关键词：
Matsumoto metric; Isometry group; Automorphism group; Geodesic vector; Two-step nilpotent Lie group; 2-STEP HOMOGENEOUS NILMANIFOLDS;
D O I：
10.1007/s10013-018-0324-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider invariant Matsumoto metrics which are induced by invariant Riemannian metrics and invariant vector fields on homogeneous spaces. We first study the intersection between automorphism and isometry groups of these spaces. Then, we study geodesic vectors and investigate the set of all homogeneous geodesics on homogeneous spaces and nilpotent Lie groups of dimension five.
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页码：355 / 365
页数：11
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