A new approach to Bertrand curves in Euclidean 3-space

被引：12
|
作者：
Camci, Cetin [1 ]
Ucum, Ali [2 ]
Ilarslan, Kazim [2 ]
机构：
[1] Onsekiz Mart Univ, Dept Math, Fac Sci & Arts, Canakkale, Turkey
[2] Kirikkale Univ, Dept Math, Fac Sci & Arts, Kirikkale, Turkey
来源：
JOURNAL OF GEOMETRY | 2020年 / 111卷 / 03期
关键词：
Bertrand curves; General helices; Anti-Salkowski curves; Euclidean; 3-space;
D O I：
10.1007/s00022-020-00560-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, a new approach is given for Bertrand curves in 3-dimensional Euclidean space. According to this approach, the necessary and sufficient conditions including the known results have been obtained for a curve to be Bertrand curve in E-3. In addition, the related examples and graphs are given by showing that general helices and anti-Salkowski curves can be Bertrand curves or their mates, which is their new characterization.
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页数：15
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