{"title":"Genus Zero Complete Maximal Maps and Maxfaces with an Arbitrary Number of Ends","authors":"Pradip Kumar, Sai Rasmi Ranjan Mohanty","doi":"10.5802/crmath.525","DOIUrl":null,"url":null,"abstract":"We prove the existence of a genus-zero complete maximal map with a prescribed singularity set and an arbitrary number of simple and complete ends. We also discuss the conditions under which this maximal map can be made into a complete maxface.","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"15 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus. Mathématique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5802/crmath.525","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We prove the existence of a genus-zero complete maximal map with a prescribed singularity set and an arbitrary number of simple and complete ends. We also discuss the conditions under which this maximal map can be made into a complete maxface.
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