On algebraically integrable outer billiards

Serge Tabachnikov

doi:10.2140/pjm.2008.235.89

On algebraically integrable outer billiards

Serge Tabachnikov

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	89-92
Number of pages	4
Journal	Pacific Journal of Mathematics
Volume	235
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2008.235.89
State	Published - Mar 2008

All Science Journal Classification (ASJC) codes

General Mathematics

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10.2140/pjm.2008.235.89

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On algebraically integrable outer billiards

Abstract

All Science Journal Classification (ASJC) codes

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