Evolutes of hyperbolic plane curves

被引：46

作者：

Izumiya, S ^{[1
]}

Pei, DH

Sano, T

Torii, E

机构：

[1] Hokkaido Univ, Fac Sci, Dept Math, Sapporo, Hokkaido 0600810, Japan

[2] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China

[3] Hokkai Gakuen Univ, Fac Engn, Sapporo, Hokkaido 0628605, Japan

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2004年 / 20卷 / 03期

关键词：

evolute; generic property; hyperbolic plane curve;

D O I：

10.1007/s10114-004-0301-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define the notion of evolutes of curves in a hyperbolic plane and establish the relationships between singularities of these subjects and geometric invariants of curves under the action of the Lorentz group. We also describe how we can draw the picture of an evolute of a hyperbolic plane curve in the Poincare disk.

引用

页码：543 / 550

页数：8