On algebraically integrable outer billiards

2007/08/02 by S. Tabachnikov, Tabachnikov, S. · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #Dynamical Systems (math.DS) #FOS: Mathematics #math.AG #math.DS

paper · pdf · doi:10.48550/arxiv.0708.0255

arxiv created 2007/08/02 · arxiv updated 2009/12/01

Abstract

We prove that if the outer billiard map around a plane oval is algebraically integrable in a certain non-degenerate sense then the oval is an ellipse.

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