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Remarks on Rigidity Properties of Conics
Serge Tabachnikov Department of Mathematics, Pennsylvania State University,
University Park, 16802 PA, USA
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.
Received: 17.10.2021 Accepted: 16.12.2021
Citation:
Serge Tabachnikov, “Remarks on Rigidity Properties of Conics”, Regul. Chaotic Dyn., 27:1 (2022), 18–23
Linking options:
https://www.mathnet.ru/eng/rcd1150 https://www.mathnet.ru/eng/rcd/v27/i1/p18
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