Billiard characterization of spheres

DOI10.1007/s00208-019-01831-6zbMath1430.37030arXiv1807.07712OpenAlexW2939527926MaRDI QIDQ2314797

Misha Bialy

Publication date: 30 July 2019

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.07712

zbMATH Keywords

billiardsconvex bodies

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (1)

Magnetic billiards: non-integrability for strong magnetic field; Gutkin type examples

Cites Work

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• Capillary floating and the billiard ball problem
• Topology of cylic configuration spaces and periodic trajectories of multi-dimensional billiards
• Only ellipsoids have caustics
• Maximizing orbits for higher-dimensional convex billiards
• Addendum to: ``Capillary floating and the billiard ball problem
• A Characterization of the Ball in R 3
• Gutkin billiard tables in higher dimensions and rigidity
• Seules les quadriques admettent des caustiques

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