Convex Polyhedra without Simple Closed Geodesics

    2003, Volume 8, Number 1, pp.  45-58

    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.
    Citation: Galperin G. A., Convex Polyhedra without Simple Closed Geodesics, Regular and Chaotic Dynamics, 2003, Volume 8, Number 1, pp. 45-58


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