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

Fedor Duzhin
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Abstract

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

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Fedor Duzhin. 2002-01-30. Lower bounds for the number of closed billiard trajectories of period 2 and 3 in manifolds embedded in Euclidean space. https://arxiv.org/abs/math/0112180

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