On slant helix and its spherical indicatrix

被引：118

作者：

Kula, L ^{[1
]}

Yayli, Y ^{[1
]}

机构：

[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 169卷 / 01期

关键词：

slant helix; spherical helix; a curve of constant precession; spherical indicatrix;

D O I：

10.1016/j.amc.2004.09.078

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate spherical images the tangent indicatrix and binormal indicatrix of a slant helix. We obtain that the spherical images are spherical helices. Moreover, we show that a curve of constant precession is a slant helix. For involute of a curve gamma, we have obtain that gamma is a slant helix if and only if its involute is a general helix. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：600 / 607

页数：8