On polynomially integrable planar outer billiards and curves with symmetry property

A. Glutsyuk; E. Shustin

doi:10.1007/s00208-018-1726-4

On polynomially integrable planar outer billiards and curves with symmetry property

A. Glutsyuk, E. Shustin

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1481-1501
Number of pages	21
Journal	Mathematische Annalen
Volume	372
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-018-1726-4
State	Published - 1 Dec 2018

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00208-018-1726-4

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title = "On polynomially integrable planar outer billiards and curves with symmetry property",

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.",

author = "A. Glutsyuk and E. Shustin",

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AU - Shustin, E.

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N2 - We show that every polynomially integrable planar outer convex billiard is elliptic. We also prove an extension of this statement to non-convex billiards.

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

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EP - 1501

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 3-4

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On polynomially integrable planar outer billiards and curves with symmetry property

Abstract

All Science Journal Classification (ASJC) codes

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