Pedal Curves of Non-Lightlike Curves in Minkowski 3-Space

被引：4
|
作者：
Li, Meixuan [1 ]
Yao, Kaixin [1 ]
Li, Pengcheng [1 ]
Pei, Donghe [1 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 01期
基金：
中国国家自然科学基金;
关键词：
pedal curve; singularity; B-Gauss map; Minkowski; 3-space; FRAMED CURVES; SINGULARITIES; FRONTS; GERMS;
D O I：
10.3390/sym14010059
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We study the notions of pedal curves, contrapedal curves and B-Gauss maps of non-lightlike regular curves in Minkowski 3-space. Then we establish the relationships among the evolutes, the pedal and contrapedal curves. Moreover, we also investigate the singularities of these objects. Finally, we show some examples to comprehend the characteristics of the pedal and contrapedal curves in Minkowski 3-space.
引用
收藏
页数：9
相关论文
共 50 条
  • [11] NULL CURVES IN MINKOWSKI 3-SPACE
    Inoguchi, Jun-ichi
    Lee, Sungwook
    [J]. INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2008, 1 (02): : 40 - 83
  • [12] Geometric properties of lightlike magnetic curves and magnetic flux surfaces in Minkowski 3-space
    Jiang, Xiaoyan
    Pei, Donghe
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2024, 21 (06)
  • [13] Evolutes of plane curves and null curves in Minkowski 3-space
    Nolasco B.
    Pacheco R.
    [J]. Journal of Geometry, 2017, 108 (1) : 195 - 214
  • [14] ON TIMELIKE BERTRAND CURVES IN MINKOWSKI 3-SPACE
    Ucum, Ali
    Ilarslan, Kazim
    [J]. HONAM MATHEMATICAL JOURNAL, 2016, 38 (03): : 467 - 477
  • [15] On Pseudospherical Smarandache Curves in Minkowski 3-Space
    Ozturk, Esra Betul Koc
    Ozturk, Ufuk
    Ilarslan, Kazim
    Nesovic, Emilija
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [16] Extended Rectifying Curves in Minkowski 3-Space
    Yilmaz, Beyhan
    Gok, Ismail
    Yayli, Yusuf
    [J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (02) : 861 - 872
  • [17] Spacelike Framed Curves with Lightlike Components and Singularities of Their Evolutes and Focal Surfaces in Minkowski 3-space
    Li, Peng Cheng
    Pei, Dong He
    Zhao, Xin
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2024, 40 (06) : 1521 - 1532
  • [18] Space curves of constant breadth in Minkowski 3-space
    Kocayigit, Huseyin
    Onder, Mehmet
    [J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2013, 192 (05) : 805 - 814
  • [19] Space curves of constant breadth in Minkowski 3-space
    Hüseyin Kocayiğit
    Mehmet Önder
    [J]. Annali di Matematica Pura ed Applicata, 2013, 192 : 805 - 814
  • [20] Spacelike Framed Curves with Lightlike Components and Singularities of Their Evolutes and Focal Surfaces in Minkowski 3-space
    Peng Cheng LI
    Dong He PEI
    Xin ZHAO
    [J]. Acta Mathematica Sinica,English Series, 2024, (06) : 1521 - 1532
12345