On curves with the Poritsky property
From MaRDI portal
Publication:6601746
DOI10.1007/978-3-031-19111-4_21MaRDI QIDQ6601746
Publication date: 11 September 2024
Ergodic theorems, spectral theory, Markov operators (37A30) Orbit growth in dynamical systems (37C35) 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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space
- Remarks on Joachimsthal integral and Poritsky property
- Caustics and evolutes for convex planar domains
- Equivalence of glancing hypersurfaces. II
- Spectral invariants of convex planar regions
- Equivalence of glancing hyper-surfaces
- Poncelet's theorem and dual billiards
- Commuting dual billiard maps
- On polynomially integrable planar outer billiards and curves with symmetry property
- On the local Birkhoff conjecture for convex billiards
- Four equivalent properties of integrable billiards
- Algebraic Birkhoff conjecture for billiards on sphere and hyperbolic plane
- Spherical and hyperbolic conics
- Dual billiards
- The billiard ball problem on a table with a convex boundary - An illustrative dynamical problem. I. The invariant integral
- On polynomially integrable Birkhoff billiards on surfaces of constant curvature
- THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN
- Open problems, questions and challenges in finite- dimensional integrable systems
- Lazutkin coordinates and invariant curves for outer billiards
This page was built for publication: On curves with the Poritsky property