Associated spherical partner of space curve in Euclidean 3-space

被引：2
|
作者：
Liu, Huili [1 ]
Liu, Yixuan [2 ]
Dal Jung, Seoung [3 ,4 ]
机构：
[1] Northeastern Univ, Dept Math, Shenyang 110004, Liaoning, Peoples R China
[2] Peking Univ, Coll Life Sci, Beijing 100871, Peoples R China
[3] Jeju Natl Univ, Dept Math, Jeju 690756, South Korea
[4] Jeju Natl Univ, Res Inst Basic Sci, Jeju 690756, South Korea
来源：
TOPOLOGY AND ITS APPLICATIONS | 2019年 / 264卷
基金：
新加坡国家研究基金会;
关键词：
Associated curve; Spherical curve; Curvature; Torsion; Rectifying curve;
D O I：
10.1016/j.topol.2019.06.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we define associated spherical partner, radial function and radial spherical function for space curve which doesn't lie on the sphere in Euclidean 3-space. Using these notions we discuss some special curves and their associated spherical partners. Especially we give a new necessary and sufficient condition for the rectifying curves in Euclidean 3-space. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：79 / 88
页数：10
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