A Characterization of Non-Lightlike Curves With Respect to Parallel Transport Frame in Minkowski Space-Time

被引：0
|
作者：
Buyukkutuk, S. [1 ]
Kisi, I [1 ]
Ozturk, G. [2 ]
机构：
[1] Kocaeli Univ, Dept Math, Izmit, Turkey
[2] Izmir Democracy Univ, Dept Math, Izmir, Turkey
来源：
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2018年 / 12卷 / 02期
关键词：
Parallel transport frame; position vector; constant ratio curves;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we characterize non-ligtlike curves (x(s) = m(0)(s)T(s) + m(1)(s)M-1(s) + m(2)(s)M-2(s) + m(3)(s)M-3(s)) in terms of their curvature functions m(i)(s) (i = 0, 1, 2, 3) with the help of parallel transport frame {T,M-1,M-2,M-3}. We obtain a result about spacelike constant ratio curves. We give the necessary and sufficient conditions for such curves to be T-constant and N-constant of first and second kind. Also, we give the necessary and sufficient conditions for T-constant curves to lie on a Lorentzian sphere.
引用
收藏
页码：223 / 234
页数：12
相关论文
共 50 条
  • [11] Singularities of Non-lightlike Developable Surfaces in Minkowski 3-Space
    Sahar H. Nazra
    Rashad A. Abdel-Baky
    Mediterranean Journal of Mathematics, 2023, 20
  • [12] On minimal lightlike surfaces in Minkowski space-time
    Gorkavyy, Vasyl
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2008, 26 (02) : 133 - 139
  • [13] Non-lightlike constant angle ruled surfaces in Minkowski 3-space
    Ali, Ahmad T.
    JOURNAL OF GEOMETRY AND PHYSICS, 2020, 157
  • [14] Non-lightlike ruled surfaces with constant curvatures in Minkowski 3-space
    Ali, Ahmad Tawfik
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2018, 15 (04)
  • [15] NULL CURVES IN A MINKOWSKI SPACE-TIME
    BONNOR, WB
    TENSOR, 1969, 20 (02): : 229 - &
  • [16] MAGNETIC NON-NULL CURVES ACCORDING TO PARALLEL TRANSPORT FRAME IN MINKOWSKI 3-SPACE
    Kazan, Ahmet
    Karadag, H. Bayram
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2018, 67 (01): : 147 - 160
  • [17] Some Results on p-Shape Curvatures of Non-Lightlike Space Curves
    Simsek, Hakan
    Ozdemir, Mustafa
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2018, 11 (02): : 61 - 70
  • [18] On geometry of spherical image in Minkowski space-time with timelike type-2 parallel transport frame
    Solouma, Emad
    Al-Dayel, Ibrahim
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2020, 15 (01): : 491 - 507
  • [19] The lightlike geometry of marginally trapped surfaces in Minkowski space-time
    Honda, Atsufumi
    Izumiya, Shyuichi
    JOURNAL OF GEOMETRY, 2015, 106 (01) : 185 - 210
  • [20] CURVES IN A SPACELIKE HYPERSURFACE IN MINKOWSKI SPACE-TIME
    Izumiya, Shyuichi
    Nabarro, Ana Claudia
    Sacramento, Andrea de Jesus
    OSAKA JOURNAL OF MATHEMATICS, 2021, 58 (04) : 947 - 966
12345