Mannheim curves and their partner curves in Minkowski 3-space E13

被引：1

作者：

Elsharkawy, Ayman ^{[1
]}

Elshenhab, Ahmed M. ^{[2
]}

机构：

[1] Tanta Univ, Fac Sci, Dept Math, Tanta 31527, Egypt

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

DEMONSTRATIO MATHEMATICA | 2022年 / 55卷 / 01期

关键词：

Mannheim curves; Mannheim partner curves; modified orthogonal frame; Minkowski; 3-space; timelike curve; spacelike curve; curvature; torsion; FRAME;

D O I：

10.1515/dema-2022-0163

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The modified orthogonal frame is an important tool to study analytic space curves whose curvatures have discrete zero points. In this article, by using the modified orthogonal frame, Mannheim curves and their partner curves are investigated in Minkowski 3-space. Some characterizations according to the curvatures and torsions of the curves are given. Finally, some relations under the conditions for Mannheim curves and their partner curves to be generalized helices are presented. All the possible cases for the partner curves to be spacelike and timelike are considered in the whole of the article.

引用

页码：798 / 811

页数：14

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