Characterizations of timelike slant helices in Minkowski 3-space

被引：0

作者：

Gok, Ismail ^{[1
]}

Nurkan, Semra Kaya ^{[2
]}

Ilarslan, Kazim ^{[3
]}

Kula, Levent ^{[4
]}

Altinok, Mesut ^{[4
]}

机构：

[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey

[2] Usak Univ, Fac Sci & Arts, Dept Math, TR-64200 Usak, Turkey

[3] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey

[4] Ahi Evran Univ, Fac Sci & Arts, Dept Math, TR-40100 Kirsehir, Turkey

来源：

MATHEMATICAL COMMUNICATIONS | 2014年 / 19卷 / 01期

关键词：

Minkowski; 3-space; timelike curve; slant helix; general helix; spherical helix; the tangent indicatrix; the principal normal indicatrix; the binormal indicatrix; GENERAL HELICES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the tangent indicatrix, the principal normal indicatrix and the binormal indicatrix of a timelike curve in Minkowski 3-space E-1(3) and we construct their Frenet equations and curvature functions. Moreover, we obtain some differential equations which characterize a timelike curve to be a slant helix by using the Frenet apparatus of a spherical indicatrix of the curve. Also, related examples and their illustrations are given.

引用

页码：119 / 138

页数：20

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