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On three-periodic trajectories of multi-dimensional dual billiards

Serge Tabachnikov
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Abstract

We consider the dual billiard map with respect to a smooth strictly convex closed hypersurface in linear 2m-dimensional symplectic space and prove that it has at least 2m distinct 3-periodic orbits.

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Serge Tabachnikov. 2003-10-25. On three-periodic trajectories of multi-dimensional dual billiards. https://doi.org/10.2140/agt.2003.3.993

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