Convex polyhedra without simple closed geodesics

被引：10

作者：

Galperin, G ^{[1
]}

机构：

[1] Eastern Illinois Univ, Charleston, IL 61920 USA

来源：

REGULAR & CHAOTIC DYNAMICS | 2003年 / 8卷 / 01期

关键词：

D O I：

10.1070/RD2003v008n01ABEH000231

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that, in contrast to the smooth convex surfaces homeomorphic to the two-dimensional sphere, the most of convex polyhedra in three dimensional space are free of closed geodesics without self-intersections.

引用

页码：45 / 58

页数：14

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