{"title":"Uniformization of intrinsic Gromov hyperbolic spaces with Busemann functions","authors":"Vasudevarao Allu, Alan P Jose","doi":"arxiv-2408.01412","DOIUrl":null,"url":null,"abstract":"For any intrinsic Gromov hyperbolic space we establish a Gehring-Hayman type\ntheorem for conformally deformed spaces. As an application, we prove that any\nintrinsic hyperbolic space with atleast two points in the Gromov boundary can\nbe uniformized by densities induced by Busemann functions.","PeriodicalId":501142,"journal":{"name":"arXiv - MATH - Complex Variables","volume":"61 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Complex Variables","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.01412","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
For any intrinsic Gromov hyperbolic space we establish a Gehring-Hayman type
theorem for conformally deformed spaces. As an application, we prove that any
intrinsic hyperbolic space with atleast two points in the Gromov boundary can
be uniformized by densities induced by Busemann functions.
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