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

页码：79 / 88

页数：10

共 7 条

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[3] do Carmo Manfredo P., 1976, DIFFERENTIAL GEOMETR
[4] Curves in Three Dimensional Riemannian Space Forms
Liu, Huili
[J]. RESULTS IN MATHEMATICS, 2014, 66 (3-4) : 469 - 480
[5] Curves in Affine and Semi-Euclidean Spaces
Liu, Huili
[J]. RESULTS IN MATHEMATICS, 2014, 65 (1-2) : 235 - 249
[6] Mannheim partner curves in 3-space
Liu, Huili
Wang, Fan
[J]. JOURNAL OF GEOMETRY, 2008, 88 (1-2) : 120 - 126
[7] Su Buqing, 1986, INTRO FUNCTIONAL DIF

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