Billiards and closed orbits in subriemannian geometry
Abstract. This is a joint work with Y. Baryshnikov. It is well known that there are exist non-circular billiards (corresponding to the equal-width curves) possessing a continuous family of 2-period orbits.
Using methods of subriemannian geometry, we prove analogous result for n-period orbits: There are exist non-elliptic billiards with a continuous family of n-period orbits.