{"title":"Smoothing finite-order bilipschitz homeomorphisms of 3-manifolds","authors":"Lucien Grillet","doi":"10.1112/topo.12309","DOIUrl":null,"url":null,"abstract":"<p>We show that, for <math>\n <semantics>\n <mrow>\n <mi>ε</mi>\n <mo>=</mo>\n <mfrac>\n <mn>1</mn>\n <mn>4000</mn>\n </mfrac>\n </mrow>\n <annotation>$\\varepsilon =\\frac{1}{4000}$</annotation>\n </semantics></math>, any action of a finite cyclic group by <math>\n <semantics>\n <mrow>\n <mo>(</mo>\n <mn>1</mn>\n <mo>+</mo>\n <mi>ε</mi>\n <mo>)</mo>\n </mrow>\n <annotation>$(1+\\varepsilon )$</annotation>\n </semantics></math>-bilipschitz homeomorphisms on a closed 3-manifold is conjugated to a smooth action.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1112/topo.12309","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We show that, for , any action of a finite cyclic group by -bilipschitz homeomorphisms on a closed 3-manifold is conjugated to a smooth action.
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