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 15 条
  • [1] Abdel-Baky R. A., 2002, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., V51, P1
  • [2] Ayyildiz N, 2007, TAIWAN J MATH, V11, P999
  • [3] Balki Okullu P., 2019, THERM SCI, V23, P361
  • [4] THERE IS MORE THAN ONE WAY TO FRAME A CURVE
    BISHOP, RL
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1975, 82 (03) : 246 - 251
  • [5] BREUER S, 1971, P AM MATH SOC, V27, P126
  • [6] On the characterization of spherical curves in 3-dimensional Sasakian spaces
    Camci, Cetin
    Yayli, Yusuf
    Hacisalihoglu, Hilmi
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 342 (02) : 1151 - 1159
  • [7] Ilarslan K., 2003, J INVERSE ILL-POSE P, V11, P389
  • [8] Karacan M. K., 2008, SD U J FAC SCI, V3, P80
  • [9] Kocayi H., 2003, J INVERSE 3 POSED PR, V11, P245
  • [10] Kose O, 1998, DOGA MAT, V12, p[105, 3]