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Regular and Chaotic Dynamics, 2022, Volume 27, Issue 1, Pages 18–23
DOI: https://doi.org/10.1134/S156035472201004X (Mi rcd1150) 		 
Remarks on Rigidity Properties of Conics

Serge Tabachnikov

Department of Mathematics, Pennsylvania State University, University Park, 16802 PA, USA
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DOI: https://doi.org/10.1134/S156035472201004X
Abstract: Inspired by the recent results toward Birkhoff conjecture (a rigidity property of billiards in ellipses), we discuss two rigidity properties of conics. The first one concerns symmetries of an analog of polar duality associated with an oval, and the second concerns properties of the circle map associated with an oval and two pencils of lines.
Keywords: conics, polar duality, rigidity, circle maps, chess billiards.
Funding agency Grant number
National Science Foundation DMS-2005444
The author was supported by NSF grant DMS-2005444.
Received: 17.10.2021
Accepted: 16.12.2021
Bibliographic databases:
Document Type: Article
MSC: 53A20, 37E10
Language: English
Citation: Serge Tabachnikov, “Remarks on Rigidity Properties of Conics”, Regul. Chaotic Dyn., 27:1 (2022), 18–23
Citation in format AMSBIB
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\pages 18--23
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