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

页码：805 / 814

页数：10

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