{"title":"On the Finite Dimensionality of Integrable Deformations of Strictly Convex Integrable Billiard Tables","authors":"Guan Huang, V. Kaloshin","doi":"10.17323/1609-4514-2019-19-2-307-327","DOIUrl":null,"url":null,"abstract":"In this paper, we show that any smooth one-parameter deformations of a strictly convex integrable billiard table $\\Omega_0$ preserving the integrability near the boundary have to be tangent to a finite dimensional space passing through $\\Omega_0$.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.17323/1609-4514-2019-19-2-307-327","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper, we show that any smooth one-parameter deformations of a strictly convex integrable billiard table $\Omega_0$ preserving the integrability near the boundary have to be tangent to a finite dimensional space passing through $\Omega_0$.
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