Ivrii's conjecture for some cases in outer and symplectic billiards
Dynamical Systems
2024-10-30 v2 Symplectic Geometry
Abstract
We give a proof for and -periodic Ivrii's conjecture for planar outer billiards. We also give new simple geometric proofs for the 3 and 4-periodic cases for outer and symplectic billiards, and generalize for higher dimensions in case of symplectic billiards.
Keywords
Cite
@article{arxiv.2402.18782,
title = {Ivrii's conjecture for some cases in outer and symplectic billiards},
author = {Anastasiia Sharipova},
journal= {arXiv preprint arXiv:2402.18782},
year = {2024}
}
Comments
10 pages, 8 figures