A new approach to Mannheim curve in Euclidean 3-space

被引：1
|
作者：
Ucum, Ali [1 ]
Camci, Cetin [2 ]
Ilarslan, Kazim [1 ]
机构：
[1] Kirikkale Univ, Fac Sci & Arts, Dept Math, Kirikkale, Turkiye
[2] Onsekiz Mart Univ, Fac Sci & Arts, Dept Math, Canakkale, Turkiye
来源：
TAMKANG JOURNAL OF MATHEMATICS | 2023年 / 54卷 / 01期
关键词：
Keywords; Mannheim curves; general helices; anti-Salkowski curves; Euclidean; 3; -space;
D O I：
10.5556/j.tkjm.54.2023.4085
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 Mannheim curves in 3 -dimensional Euclidean space. Thanks to this approach, the necessary and suffi-cient conditions including the known results have been obtained for a curve to be Mannheim curve in E3. In addition, related examples and graphs are given by show-ing that Salkowski and anti-Salkowski curves can be the examples of Mannheim curves and their mates. Finally, the Mannheim partner curves are characterized in E3.
引用
收藏
页码：93 / 106
页数：14
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