2 papers
math.AT2002
Lower bounds for the number of closed billiard trajectories of period 2 and 3 in manifolds embedded in Euclidean space
Fedor Duzhin
A lower bound for the number of 3-periodical billiard trajectories in a manifold embedded in Euclidean space is obtained.
math.AT2001
On the lower bounds for the number of periodic billiard trajectories in manifolds embedded in Euclidean space
Fedor Duzhin
In this paper the problem of estimating the number of periodical billiard trajectories is considered. The main result is the theorem on Morse theory for periodical billiard traject…