A regularity result for shortest generalized billiard trajectories in convex bodies in \(\mathbb{R}^n\)

DOI10.1007/s10711-022-00717-3zbMath1505.37042arXiv2003.00599OpenAlexW4289524217MaRDI QIDQ2164371

Daniel Rudolf, Stefan Krupp

Publication date: 12 August 2022

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.00599

zbMATH Keywords

polytopesgeneralized billiardsalgorithmic geoemtryEuclidean billiardshortest periodic orbit

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems with hyperbolic orbits and sets (37D05) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (1)

Viterbo's conjecture as a worm problem

Cites Work

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