Position vectors of a timelike and a null helix in Minkowski 3-space

被引:37
作者
Ilarslan, Kazim [1 ]
Boyacioglu, Oezguer [2 ]
机构
[1] Kirikkale Univ, Dept Math, Fac Sci & Arts, Kirikkale, Turkey
[2] Afyon Kocatepe Univ, Dept Math, Fac Sci & Arts, Afyon, Turkey
关键词
D O I
10.1016/j.chaos.2008.04.003
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the position vectors of a timelike and a null helix (or a W-curve), i.e. curve with constant curvatures in the Minkowski 3-space E-1(3). We give some characterizations for timelike and null helix whose image lies on the Lorentzian sphere S-1(2) or pseudohyperbolical space H-0(2) by using the positions vectors of the curve. (c) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1383 / 1389
页数:7
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