Lower bounds for the number of closed billiard trajectories of period 2 and 3 in manifolds embedded in Euclidean space

Details Lower bounds for the number of closed billiard trajectories of period 2 and 3 in manifolds embedded in Euclidean space Lower bounds for the number of closed billiard trajectories of period 2 and 3 in manifolds embedded in Euclidean space

2001-12-18

arxiv.org/abs/math/0112180v2

Mathematics

Algebraic Topology

20 pages

Scientific paper

A lower bound for the number of 3-periodical billiard trajectories in a
manifold embedded in Euclidean space is obtained.

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