On harmonic curvatures of null curves of the AW(k)-type in Lorentzian space

被引:10
作者
Kulahci, Mihriban [1 ]
Bektas, Mehmet [1 ]
Erguet, Mahmut [1 ]
机构
[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey
来源
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2008年 / 63卷 / 5-6期
关键词
null curve; harmonic curvature; Frenet formulas; AW(k)-type curve;
D O I
10.1515/zna-2008-5-603
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We investigate null curves of the AW(k)-type (1 <= k <= 3) in the 3-dimensional Lorentzian space, L-3, and give curvature conditions of these curves by using the Cartan frame. Moreover, we study harmonic curvatures of curves of AW(k)-type and show that if the alpha Frenet curve is of type AW(1), then a is a null helix.
引用
收藏
页码:248 / 252
页数:5
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