Self-approaching curves

被引：29

作者：

Icking, C ^{[1
]}

Klein, R ^{[1
]}

Langetepe, E ^{[1
]}

机构：

[1] Fern Univ Hagen, D-58084 Hagen, Germany

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 1999年 / 125卷

关键词：

D O I：

10.1017/S0305004198003016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a new class of curves which are self-approaching in the following sense. For any three consecutive points a, b, c on the curve the point b is closer to c than a to c. This is a generalisation of curves with increasing chords which are self-approaching in both directions. We show a tight upper bound of 5.3331... for the length of a self-approaching curve over the distance between its endpoints.

引用

页码：441 / 453

页数：13