General Helices with Timelike Slope Axis in Minkowski 3-Space

被引：0
|
作者：
Ali Uçum
Çetin Camci
Kazım  İlarslan
机构：
[1] Kırıkkale University,Department of Mathematics, Faculty of Sciences and Arts
[2] Onsekiz Mart University,Department of Mathematics, Faculty of Sciences and Arts
来源：
Advances in Applied Clifford Algebras | 2016年 / 26卷
关键词：
General helix; Timelike slope axis; Minkowski 3-space; 53C30; 53C52;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the present paper, we consider the general helices in Minkowski 3-space to have a constant timelike slope axis. As a result, we show that there exists no pseudo null helix with constant timelike slope axis or spacelike helix with timelike principal normal and constant timelike slope axis. Moreover, we obtain the parametric equations of spacelike helix with spacelike principal normal, timelike helix and null Cartan helix with timelike slope axis. We also give some related examples and their figures.
引用
收藏
页码：793 / 807
页数：14
相关论文
共 50 条
  • [1] General Helices with Timelike Slope Axis in Minkowski 3-Space
    Ucum, Ali
    Camci, Cetin
    Ilarslan, Kazim
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (02) : 793 - 807
  • [2] General helices with spacelike slope axis in Minkowski 3-space
    Ucum, Ad
    Camci, Cetin
    Ilarslan, Kazim
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (05)
  • [3] Characterizations of timelike slant helices in Minkowski 3-space
    Gok, Ismail
    Nurkan, Semra Kaya
    Ilarslan, Kazim
    Kula, Levent
    Altinok, Mesut
    MATHEMATICAL COMMUNICATIONS, 2014, 19 (01) : 119 - 138
  • [4] On Timelike Rectifying Slant Helices in Minkowski 3-Space
    Altunkaya, Bulent
    Kula, Levent
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2018, 11 (01): : 17 - 25
  • [5] Timelike clad helices and developable surfaces in Minkowski 3-space
    Seher Kaya
    Osman Ateş
    İsmail Gök
    Yusuf Yayli
    Rendiconti del Circolo Matematico di Palermo Series 2, 2019, 68 : 259 - 273
  • [6] Timelike clad helices and developable surfaces in Minkowski 3-space
    Kaya, Seher
    Ates, Osman
    Gok, Ismail
    Yayli, Yusuf
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2019, 68 (02) : 259 - 273
  • [7] Timelike Constant Axis Ruled Surface Family in Minkowski 3-Space
    Almoneef, Areej A.
    Abdel-Baky, Rashad A.
    SYMMETRY-BASEL, 2024, 16 (06):
  • [8] Position vectors of spacelike general helices in Minkowski 3-space
    Ali, Ahmad T.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (04) : 1118 - 1126
  • [9] TIMELIKE SURFACES OF EVOLUTION IN MINKOWSKI 3-SPACE
    Yavuz, Yunus
    Yazla, Aziz
    Sariaydin, Muhammed T.
    JOURNAL OF SCIENCE AND ARTS, 2020, (03): : 611 - 626
  • [10] ON TIMELIKE BERTRAND CURVES IN MINKOWSKI 3-SPACE
    Ucum, Ali
    Ilarslan, Kazim
    HONAM MATHEMATICAL JOURNAL, 2016, 38 (03): : 467 - 477
12345