{"title":"Nevanlinna-type theory based on heat diffusion","authors":"Xianjing Dong","doi":"10.4310/ajm.2023.v27.n1.a3","DOIUrl":null,"url":null,"abstract":"We obtain an analogue of Nevanlinna theory of holomorphic mappings from a complete and stochastically complete K\\\"ahler manifold into a complex projective manifold. When certain curvature conditions are imposed, the Nevanlinna-type defect relation based on heat diffusion is derived.","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2020-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/ajm.2023.v27.n1.a3","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
Abstract
We obtain an analogue of Nevanlinna theory of holomorphic mappings from a complete and stochastically complete K\"ahler manifold into a complex projective manifold. When certain curvature conditions are imposed, the Nevanlinna-type defect relation based on heat diffusion is derived.
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