Space curves of constant breadth in Minkowski 3-space

被引：4
|
作者：
Kocayigit, Huseyin [1 ]
Onder, Mehmet [1 ]
机构：
[1] Celal Bayar Univ, Fac Sci & Arts, Dept Math, TR-45047 Muradiye, Manisa, Turkey
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2013年 / 192卷 / 05期
关键词：
Minkowski; 3-space; Spacelike curve; Timelike curve; Curve of constant breadth;
D O I：
10.1007/s10231-011-0247-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study spacelike and timelike curves of constant breadth in Minkowski 3-space. We show that in Minkowski 3-space spacelike and timelike curves of constant breadth are normal, helices, and spherical curves in some special cases. Furthermore, we give that the total torsion of a closed spacelike curve of constant breadth is zero while the total torsion of a simple closed timelike curve is equal to 2 pi n, (n is an element of Z).
引用
收藏
页码：805 / 814
页数：10
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