Generalized Bertrand Curves in Minkowski 3-Space

被引:7
|
作者
Zhang, Chunxiao [1 ]
Pei, Donghe [1 ]
机构
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
基金
中国国家自然科学基金;
关键词
lightlike Bertrand curves; non-lightlike Bertrand curves; generalized Bertrand curves pair;
D O I
10.3390/math8122199
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We define a generalized lightlike Bertrand curve pair and a generalized non-lightlike Bertrand curve pair, discuss their properties and prove the necessary and sufficient condition of a curve which is a generalized lightlike or a generalized non-lightlike Bertrand curve. Moreover, we study the relationship between slant helices and generalized Bertrand curves.
引用
收藏
页码:1 / 11
页数:11
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