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math.ATDec 18, 2001
3
citations (OpenAlex)
authors
  • Fedor Duzhin
arXiv abstractPDF
paper

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

arXiv:math/0112178

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.

M.S. thesis. 13 pages, 1 figure

Cited by in corpus (1)

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