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

[1]

Chen B. Y., 2005, Bull. Inst. Math. Acad. Sin, V33, P77

[2] When does the position vector of a space curve always lie in its rectifying plane? [J].

Chen, BY .

AMERICAN MATHEMATICAL MONTHLY, 2003, 110 (02) :147-152

[3]

do Carmo Manfredo P., 1976, DIFFERENTIAL GEOMETR

[4] Curves in Three Dimensional Riemannian Space Forms [J].

Liu, Huili .

RESULTS IN MATHEMATICS, 2014, 66 (3-4) :469-480

[5] Curves in Affine and Semi-Euclidean Spaces [J].

Liu, Huili .

RESULTS IN MATHEMATICS, 2014, 65 (1-2) :235-249

[6] Mannheim partner curves in 3-space [J].

Liu, Huili ;

Wang, Fan .

JOURNAL OF GEOMETRY, 2008, 88 (1-2) :120-126

[7]

Su Buqing, 1986, INTRO FUNCTIONAL DIF

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