On polynomially integrable planar outer billiards and curves with symmetry property

A. Glutsyuk*, E. Shustin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We show that every polynomially integrable planar outer convex billiard is elliptic. We also prove an extension of this statement to non-convex billiards.

Original languageEnglish
Pages (from-to)1481-1501
Number of pages21
JournalMathematische Annalen
Volume372
Issue number3-4
DOIs
StatePublished - 1 Dec 2018

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