Curves in Affine and Semi-Euclidean Spaces

被引：2
|
作者：
Huili Liu
机构：
[1] Northeastern University,Department of Mathematics
来源：
Results in Mathematics | 2014年 / 65卷
关键词：
53A15; 53A04; 53C50; 34A05; 34A26; Centroaffine curve; curvature function; Semi Euclidean space; spherical curve; rectifying curve; cone curve;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we define centroaffine invariant arc length and curvature functions of a curve in affine n-space. Then we consider the properties and relations of the curves in affine space and Semi-Euclidean space. Using these notions and conclusions, by solving certain differential equations, we give some examples and classifications of the curves in affine 2-space and 3-space.
引用
收藏
页码：235 / 249
页数：14
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