A geometric characterisation of two-parameter spatial motions with many locally one-dimensional point paths

被引：1

作者：

Abdel-All, NH

Hamdoon, FM

机构：

[1] Graz Univ Technol, Inst Geometry, A-8010 Graz, Austria

[2] Assiut Univ, Fac Sci, Dept Math, Assiut 71516, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 153卷 / 01期

关键词：

two-parameter spatial motion; curvature of a curve; osculating plane;

D O I：

10.1016/S0096-3003(03)00606-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a differential geometric local study of two-parameter spatial motions: we look for points, which (up to the second order) instantaneously move on one-dimensional point paths, further we locally characterise these motions, which move 001 points in these way. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：19 / 25

页数：7