A characterization of dual Lorentzian spherical curves in the dual Lorentzian space

被引：0
|
作者：
Ayyildiz, Nihat [1 ]
Coken, A. Ceylan [1 ]
Yucesan, Ahmet [1 ]
机构：
[1] Suleyman Demiral Univ, Dept Math, TR-32260 Isparta, Turkey
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2007年 / 11卷 / 04期
关键词：
dual Lorentzian space; dual Lorentzian spherical curve; spacelike-timelike curve; Frenet vectors;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A differential equation characterizing the dual Lorentzian spherical curves and an explicit solution of this differential equation are given. Also, without the precondition on the dual torsion is nowhere pure-dual, a necessary and sufficient condition for a curve to be dual Lorentzian spherical is presented. In addition, thanks to dual geodesic trihedron, torsion and curvature of dual Lorentzian curve (x) over cap ((s) over right arrow) have been calculated.
引用
收藏
页码：999 / 1018
页数：20
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