Generalized Bertrand Curves in Minkowski 3-Space

被引:7
|
作者
Zhang, Chunxiao [1 ]
Pei, Donghe [1 ]
机构
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
基金
中国国家自然科学基金;
关键词
lightlike Bertrand curves; non-lightlike Bertrand curves; generalized Bertrand curves pair;
D O I
10.3390/math8122199
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We define a generalized lightlike Bertrand curve pair and a generalized non-lightlike Bertrand curve pair, discuss their properties and prove the necessary and sufficient condition of a curve which is a generalized lightlike or a generalized non-lightlike Bertrand curve. Moreover, we study the relationship between slant helices and generalized Bertrand curves.
引用
收藏
页码:1 / 11
页数:11
相关论文
共 50 条
  • [41] On null and pseudo null Mannheim curves in Minkowski 3-space
    Grbovic, Milica
    Ilarslan, Kazim
    Nesovic, Emilija
    JOURNAL OF GEOMETRY, 2014, 105 (01) : 177 - 183
  • [42] DIRECTIONAL ASSOCIATED CURVES OF A NULL CURVE IN MINKOWSKI 3-SPACE
    Qian, Jinhua
    Kim, Young Ho
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (01) : 183 - 200
  • [43] On Some Curves in Minkowski 3-Space and Its Deformation Retract
    El-Ahmady, A. E.
    Al-Hesiny, E.
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2013, 36 (06): : 42 - 53
  • [44] On some curves in minkowski 3-space and its deformation retract
    El-Ahmady, A.E.
    AL-Hesiny, E.
    International Journal of Applied Mathematics and Statistics, 2013, 36 (06): : 42 - 53
  • [45] Caustics of de Sitter spacelike curves in Minkowski 3-space
    Miao, Jiajing
    Liu, Haiming
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 4286 - 4294
  • [46] AN APPLICATION OF RITT-WU'S ZERO DECOMPOSITION ALGORITHM TO NULL BERTRAND TYPE CURVES IN MINKOWSKI 3-SPACE
    Yildirim, Mehmet
    Ilarslan, Kazim
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2010, 39 (04): : 555 - 565
  • [47] Mannheim curves and their partner curves in Minkowski 3-space E13
    Elsharkawy, Ayman
    Elshenhab, Ahmed M.
    DEMONSTRATIO MATHEMATICA, 2022, 55 (01) : 798 - 811
  • [48] Generalized Bertrand curves with timelike (1,3)-normal plane in Minkowski space-time
    Ucum, Ali
    Kecilioglu, Osman
    Ilarslan, Kazim
    KUWAIT JOURNAL OF SCIENCE, 2015, 42 (03) : 10 - 27
  • [49] Generalized Bertrand Curves with Spacelike (1,3)-Normal Plane in Minkowski Space-Time
    Ucum, Ali
    Kecilioglu, Osman
    Ilarslan, Kazim
    TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (03) : 487 - 505
  • [50] Spherical Indicatrix of a New Approach to Bertrand Curves in Euclidean 3-space
    Tamta, Stuti
    Gupta, Ram Shankar
    KYUNGPOOK MATHEMATICAL JOURNAL, 2023, 63 (02): : 263 - 285