ON THE SPHERICAL INDICATRIX CURVES OF THE SPACELIKE SALKOWSKI CURVE WITH TIMELIKE PRINCIPAL NORMAL IN LORENTZIAN 3-SPACE

被引：0
|
作者：
Aksan, Birkan [1 ]
Mazlum, Sumeyye Gur [2 ]
机构：
[1] Gumushane Univ, Dept Math Engn, TR- 2910 Gumushane, Turkiye
[2] Gumushane Univ, Dept Comp Technol, TR-29100 Gumushane, Turkiye
来源：
HONAM MATHEMATICAL JOURNAL | 2023年 / 45卷 / 03期
关键词：
Salkowski curves; spherical indicatrix curves; geodesic curvatures; SURFACES; CURVATURE; GEOMETRY;
D O I：
10.5831/HMJ.2023.45.3.513
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we calculate Frenet frames, Frenet derivative formulas, curvatures, arc lengths, geodesic curvatures according to the Lorentzian 3-space R31, Lorentzian sphere S21 and hyperbolic sphere H2 0 of the spherical indicatrix curves of the spacelike Salkowski curve with the timelike principal normal in R3 1 and draw the graphs of these indicatrix curves on the spheres.
引用
收藏
页码：513 / 541
页数：29
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