Structure and characterization of ruled surfaces in Euclidean 3-space

被引：12

作者：

Yu, Yanhua ^{[1
]}

Liu, Huili ^{[1
]}

Dal Jung, Seoung ^{[2
]}

机构：

[1] Northeastern Univ, Dept Math, Shenyang 110004, Peoples R China

[2] Jeju Natl Univ, Dept Math, Cheju 690756, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 233卷

关键词：

Ruled surface; Structure function; Pitch function; Angle function of pitch; Weingarten surface; Binormal ruled surface;

D O I：

10.1016/j.amc.2014.02.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using the elementary method we study ruled surfaces, the simplest foliated submanifolds, in Euclidean 3-space. We define structure functions of the ruled surfaces, the invariants of non-developable ruled surfaces and discuss geometric properties and kinematical characterizations of non-developable ruled surface in Euclidean 3-space. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：252 / 259

页数：8

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