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

页码：513 / 541

页数：29

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