Caustic-free regions for billiards on surfaces of constant curvature

DOI10.1016/j.geomphys.2021.104305OpenAlexW3168211439MaRDI QIDQ2049417

Daniel Rosen, Yaron Ostrover, Dan I. Florentin

Publication date: 25 August 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.04914

zbMATH Keywords

billiardscausticssurfaces of constant curvature

Mathematics Subject Classification ID

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)

Legendrian dualities and evolute-involute curve pairs of spacelike fronts in null sphere

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hopf rigidity for convex billiards on the hemisphere and hyperbolic plane
• Asymptotic behaviour of \(\lambda\)-convex sets in the hyperbolic plane
• Billiards in Finsler and Minkowski geometries
• Instability of the boundary in the billiard ball problem
• The principle of least action in geometry and dynamics
• Caustics for inner and outer billiards
• Hyperbolic billiards on surfaces of constant curvature
• Effective bounds in E. Hopf rigidity for billiards and geodesic flows
• Integral geometry on surfaces of constant negative curvature
• Glancing billiards
• Periodic orbits of oval billiards on surfaces of constant curvature
• Note on convex curves on the hyperbolic plane

This page was built for publication: Caustic-free regions for billiards on surfaces of constant curvature