{"title":"Isometries in the diamond","authors":"Anand Chavan, Włodzimierz Zwonek","doi":"10.1016/j.bulsci.2024.103528","DOIUrl":null,"url":null,"abstract":"<div><div>We show the (anti)holomorphicity of smooth Kobayashi isometries of the diamond, the domain defined as <span><math><mo>△</mo><mo>:</mo><mo>=</mo><mo>{</mo><mi>z</mi><mo>∈</mo><msup><mrow><mi>C</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>:</mo><mo>|</mo><msub><mrow><mi>z</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>|</mo><mo>+</mo><mo>|</mo><msub><mrow><mi>z</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>|</mo><mo><</mo><mn>1</mn><mo>}</mo></math></span>.</div></div>","PeriodicalId":55313,"journal":{"name":"Bulletin des Sciences Mathematiques","volume":"197 ","pages":"Article 103528"},"PeriodicalIF":0.9000,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin des Sciences Mathematiques","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0007449724001465","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/10/18 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
We show the (anti)holomorphicity of smooth Kobayashi isometries of the diamond, the domain defined as .
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