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.
引用
收藏
页码：355 / 365
页数：11
相关论文
共 50 条
  • [41] Comparison of invariant functions and metrics
    Kosinski, Lukasz
    ARCHIV DER MATHEMATIK, 2014, 102 (03) : 271 - 281
  • [42] Strong localization of invariant metrics
    Fornaess, John Erik
    Nikolov, Nikolai
    MATHEMATISCHE ANNALEN, 2022, 383 (1-2) : 353 - 360
  • [43] Comparison of invariant functions and metrics
    Łukasz Kosiński
    Archiv der Mathematik, 2014, 102 : 271 - 281
  • [44] INVARIANT METRICS ON RIEMANN SURFACES
    MINDA, CD
    NAKKI, R
    JOURNAL D ANALYSE MATHEMATIQUE, 1981, 39 : 25 - 44
  • [45] Invariant quantum ensemble metrics
    Matzke, DJ
    Lawrence, PN
    Quantum Information and Computation III, 2005, 5815 : 115 - 126
  • [46] INVARIANT CONFORMAL METRICS ON Sn
    Espinar, Jose M.
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 363 (11) : 5649 - 5661
  • [47] ON CONFORMAL-MATSUMOTO CHANGE OF m-TH ROOT FINSLER METRICS
    Gupta, Manish K.
    Sahu, Abha
    Tayebi, Akbar
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (05): : 895 - 903
  • [48] Complete invariant fuzzy metrics on groups
    Sanchez, Ivan
    Sanchis, Manuel
    FUZZY SETS AND SYSTEMS, 2018, 330 : 41 - 51
  • [49] Invariant functions and metrics in complex analysis
    Nikolov, Nikolai
    DISSERTATIONES MATHEMATICAE, 2012, (486) : 1 - 2
  • [50] Einstein metrics and the eta-invariant.
    Hitchin, NJ
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1997, 11B : 95 - 105
12345