Ruled invariants and associated ruled surfaces of a space curve

被引：5

作者：

Liu, Huili ^{[1
]}

Liu, Yixuan ^{[2
]}

Jung, Seoung Dal ^{[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：

APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 348卷

基金：

新加坡国家研究基金会;

关键词：

Ruled invariant; Differential invariant; Structure functions of ruled surface; Frenet ruled surfaces of curve; Principal normal ruled surface of curve;

D O I：

10.1016/j.amc.2018.12.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

As we know, a ruled surface is the tangent ruled surface of a space curve if and only if its ruled distance density function vanishes identically; a ruled surface is the binormal ruled surface of a space curve if and only if its ruled translation density function vanishes identically. The ruled distance density function and translation density function are differential invariants of ruled surfaces in three dimensional Euclidean space. In this paper we give the necessary and sufficient condition of which a ruled surface is the principal normal ruled surface of a space curve using the theories of ruled invariants of ruled surface in three dimensional Euclidean space. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：479 / 486

页数：8

共 7 条

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