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Convex polyhedra without simple closed geodesics

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Publication:1407953
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DOI10.1070/RD2003v008n01ABEH000231zbMath1023.37025OpenAlexW4247210337MaRDI QIDQ1407953

D. Massart

Publication date: 14 September 2003

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rd2003v008n01abeh000231


zbMATH Keywords

stabilitygeodesicspolyhedral manifoldbilliard trajectories


Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Polyhedral manifolds (52B70)


Related Items (2)

Simple Closed Geodesics on Regular Tetrahedra in Spaces of Constant Curvature ⋮ Platonic Solids and High Genus Covers of Lattice Surfaces




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