This article is cited in 12 papers

Dynamics of billiards

Convex Polyhedra without Simple Closed Geodesics

G. Galperin

Eastern Illinois University, Charleston IL 61920, USA

Abstract: 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.

MSC: 37E99, 37E35

Received: 05.10.2002

Language: English

DOI: 10.1070/RD2003v008n01ABEH000231

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