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Remarks on Rigidity Properties of Conics
Serge Tabachnikov Department of Mathematics, Pennsylvania State University,
University Park, 16802 PA, USA
Аннотация:
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.
Ключевые слова:
conics, polar duality, rigidity, circle maps, chess billiards.
Поступила в редакцию: 17.10.2021 Принята в печать: 16.12.2021
Образец цитирования:
Serge Tabachnikov, “Remarks on Rigidity Properties of Conics”, Regul. Chaotic Dyn., 27:1 (2022), 18–23
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd1150 https://www.mathnet.ru/rus/rcd/v27/i1/p18
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