Associated curves of a Frenet curve and their applications

被引：51
|
作者：
Choi, Jin Ho [1 ]
Kim, Young Ho [1 ]
机构：
[1] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 18期
基金：
新加坡国家研究基金会;
关键词：
Associated curve; Principal-direction curve; Principal-donor curve; General helix; Slant helix; PD-rectifying curve; Bertrand curve;
D O I：
10.1016/j.amc.2012.02.064
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the notion of the principal (binormal)-direction curve and principal (binormal)-donor curve of a Frenet curve in E-3 and give the relationship of curvature and torsion of its mates. As application, we characterize general helices and slant helices in terms of their associated curves and give a canonical method to construct them. Also, we give a new characterization of Bertrand curve. Crown Copyright (C) 2012 Published by Elsevier Inc. All rights reserved.
引用
收藏
页码：9116 / 9124
页数：9
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