On quadrilateral orbits in planar billiards

DOI10.1134/S1064562411030343zbMath1238.37010OpenAlexW2049146510MaRDI QIDQ656345

Yu. G. Kudryashov, Alexey A. Glutsyuk

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562411030343

zbMATH Keywords

billiardsperiodic billiard trajectoriesIvrii's conjecture

Mathematics Subject Classification ID

Related Items

Billiard map and rigid rotation, On odd-periodic orbits in complex planar billiards, On 4-reflective complex analytic planar billiards, Billiard dynamics: An updated survey with the emphasis on open problems, Inverse problems and rigidity questions in billiard dynamics

Cites Work

• Periodic points of the billiard ball map in a convex domain
• Second term of the spectral asymptotic expansion of the Laplace-Beltrami operator on manifolds with boundary
• On the measure of the set of periodic points of the billiard