Convex Polyhedra without Simple Closed Geodesics
2003, Volume 8, Number 1, pp. 45-58
Author(s): Galperin G. A.
Author(s): Galperin G. A.
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.
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