Geodesic
Periodic trajectories in three-dimensional Birkhoffs billiards
Sbornik. Mathematics, Tome 71 (1992) no. 1, pp. 1-13

Voir la notice de l'article provenant de la source Math-Net.Ru

A lower bound is given for the number of periodic trajectories inside a strictly convex domain in three dimensional space. 
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I. K. Babenko. Periodic trajectories in three-dimensional Birkhoffs billiards. Sbornik. Mathematics, Tome 71 (1992) no. 1, pp. 1-13. http://geodesic.mathdoc.fr/item/SM_1992_71_1_a0/