Totally integrable symplectic billiards are ellipses

Autor:	Baracco, Luca, Bernardi, Olga
Rok vydání:	2023
Předmět:	Mathematics - Dynamical Systems 37E40 37J35
Druh dokumentu:	Working Paper
Popis:	In this paper we prove that a totally integrable strictly-convex symplectic billiard table, whose boundary has everywhere strictly positive curvature, must be an ellipse. The proof, inspired by the analogous result of Bialy for Birkhoff billiards, uses the affine equivariance of the symplectic billiard map. Comment: 11 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.19701 Zobrazit plný text záznamu View this record from Arxiv