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On the lower bounds for the number of periodic billiard trajectories in manifolds embedded in Euclidean space

Fedor Duzhin
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Abstract

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 trajectories.

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Fedor Duzhin. 2001-12-18. On the lower bounds for the number of periodic billiard trajectories in manifolds embedded in Euclidean space. https://arxiv.org/abs/math/0112178

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