2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62908A lower bound for the number of 3-periodical billiard trajectories in a manifold embedded in Euclidean space is obtained.20 pagesAlgebraic TopologyDifferential Geometry55-02; 57-02Lower bounds for the number of closed billiard trajectories of period 2 and 3 in manifolds embedded in Euclidean spacetext