Supplement to the article "Approximating multi-dimensional Hamiltonian flows by billiards": Proof of C${}^0$ and C${}^r$ - closeness Theorems

Abstract

This supplement to the article "Approximating multi-dimensional Hamiltonian flows by billiards" contains the proofs of C${}^0$ and C${}^r$ - closeness theorems stated in the article.

6 pages, 1 figure