DIFFERENTIAL REPRESENTATION OF THE LORENTZIAN SPHERICAL TIMELIKE CURVES BY USING BISHOP FRAME

被引:0
|
作者
Balki Okullu, Pinar [1 ]
Kocayigit, Huseyin [1 ]
机构
[1] Manisa Celal Bayar Univ, Fac Art & Sci, Manisa, Turkey
来源
THERMAL SCIENCE | 2019年 / 23卷
关键词
timelike curve; spherical curve; Bishop frame; Lorentzian sphere; EXPLICIT CHARACTERIZATION;
D O I
10.2298/TSCI190724368B
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this study, we will give the differential representation of the Lorentzian spherical timelike curves according to Bishop frame and we obtain a third-order linear differential equation which represents the position vector of a timelike curve lying on a Lorentzian sphere.
引用
收藏
页码:S2037 / S2043
页数:7
相关论文
共 50 条
  • [1] AN APPROXIMATE SOLUTION FOR LORENTZIAN SPHERICAL TIMELIKE CURVES
    Aydin, Tuba Agirman
    JOURNAL OF SCIENCE AND ARTS, 2020, (03): : 587 - 596
  • [2] ON THE SLANT HELICES ACCORDING TO BISHOP FRAME OF THE TIMELIKE CURVE IN LORENTZIAN SPACE
    Bukcu, Bahaddin
    Karacan, Murat Kemal
    TAMKANG JOURNAL OF MATHEMATICS, 2008, 39 (03): : 255 - 262
  • [3] Timelike spherical curves according to equiform Bishop frame in 3-dimensional Minkowski space
    Elsharkawy, N.
    Cesarano, C. P.
    Dmytryshyn, R.
    Elsharkawy, A.
    CARPATHIAN MATHEMATICAL PUBLICATIONS, 2023, 15 (02) : 388 - 395
  • [4] Timelike Curves of Constant Breadth According to Bishop Frame in Minkowski 3-Space
    Hüseyin Kocayiğit
    Muhammed Çetin
    Mehmet Çetin Evirgen
    Iranian Journal of Science and Technology, Transactions A: Science, 2017, 41 : 45 - 49
  • [5] Lorentzian spherical curves
    Silvia Birman, Graciela
    COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2008, 61 (06): : 695 - 700
  • [6] Timelike Curves of Constant Breadth According to Bishop Frame in Minkowski 3-Space
    Kocayigit, Huseyin
    Cetin, Muhammed
    Evirgen, Mehmet Cetin
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2017, 41 (A1): : 45 - 49
  • [7] AN EXPLICIT CHARACTERIZATION OF SPHERICAL CURVES ACCORDING TO BISHOP FRAME AND AN APPROXIMATELY SOLUTION
    Balki Okullu, Pinar
    Kocayigit, Huseyin
    Agirman Aydin, Tuba
    THERMAL SCIENCE, 2019, 23 : S361 - S370
  • [8] An application of N-Bishop frame to spherical images for direction curves
    Keskin, Ozgur
    Yayli, Yusuf
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2017, 14 (11)
  • [9] ON THE SPHERICAL INDICATRIX CURVES OF THE SPACELIKE SALKOWSKI CURVE WITH TIMELIKE PRINCIPAL NORMAL IN LORENTZIAN 3-SPACE
    Aksan, Birkan
    Mazlum, Sumeyye Gur
    HONAM MATHEMATICAL JOURNAL, 2023, 45 (03): : 513 - 541
  • [10] Dual Spherical Curves According to Bishop Frame in the Dual 3-Space
    Saad, M. Khalifa
    Mohamed, S. A.
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2022, 17 (04): : 1605 - 1617