Reflection theorem for Lorentz-Minkowski spaces

被引:0
|
作者
Lee, Nam-Hoon [1 ,2 ]
机构
[1] Hongik Univ, Dept Math Educ, 42-1 Sangsu Dong, Seoul 121791, South Korea
[2] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea
关键词
Lorentz-Minkowski spaces; Reflection theorem; Relativity;
D O I
10.1007/s10714-016-2100-z
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We generalize the reflection theorem of the Lorentz-Minkowski plane to that of the Lorentz-Minkowski spaces of higher dimensions. As a result, we show that an isometry of the Lorentz-Minkowski spacetime is a composition of at most 5 reflections.
引用
收藏
页数:7
相关论文
共 50 条
  • [31] Finite type ruled surfaces in Lorentz-Minkowski space
    Kim, Dong-Soo
    Kim, Young Ho
    Yoon, Dae Won
    TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (01): : 1 - 13
  • [32] DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES IN LORENTZ-MINKOWSKI SPACE
    Lopez, Rafael
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2014, 7 (01): : 44 - 107
  • [33] Isometric Generalized Maximal Surfaces in Lorentz-Minkowski Space
    Araujo, Henrique
    RESULTS IN MATHEMATICS, 2009, 56 (1-4) : 83 - 90
  • [34] Bjorling problem for maximal surfaces in Lorentz-Minkowski space
    Alías, LJ
    Chaves, RMB
    Mira, P
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2003, 134 : 289 - 316
  • [35] ON SURFACES IN THE 3-DIMENSIONAL LORENTZ-MINKOWSKI SPACE
    FERRANDEZ, A
    LUCAS, P
    PACIFIC JOURNAL OF MATHEMATICS, 1992, 152 (01) : 93 - 100
  • [36] Hypersurfaces in the Lorentz-Minkowski space satisfying Lkψ = Aψ + b
    Pascual Lucas
    H. Fabián Ramírez-Ospina
    Geometriae Dedicata, 2011, 153 : 151 - 175
  • [37] Bjorling problem for timelike surfaces in the Lorentz-Minkowski space
    Chaves, R. M. B.
    Dussan, M. P.
    Magid, M.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 377 (02) : 481 - 494
  • [38] Curves in the Lorentz-Minkowski plane with curvature depending on their position
    Castro, Ildefonso
    Castro-Infantes, Ildefonso
    Castro-Infantes, Jesus
    OPEN MATHEMATICS, 2020, 18 : 749 - 770
  • [39] On the curvatures of timelike circular surfaces in Lorentz-Minkowski space
    Li, Jing
    Yang, Zhichao
    Li, Yanlin
    Abdel-Baky, R. A.
    Saad, M. Khalifa
    FILOMAT, 2024, 38 (04) : 1423 - 1437
  • [40] MINDING ISOMETRIES OF RULED SURFACES IN LORENTZ-MINKOWSKI SPACE
    Gajcic, Ljiljana Primorac
    Sipus, Zeljka Milin
    RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI, 2019, 23 (538): : 107 - 122