{"title":"Pseudoconvex submanifolds in Kähler 4-manifolds","authors":"Brian Weber","doi":"10.1142/s0219199724500147","DOIUrl":null,"url":null,"abstract":"<p>This paper shows how a Levi-flat or pseudoconvex submanifold in a Kähler 4-manifold restricts the ambient manifold’s topology and its geometry at infinity.</p>","PeriodicalId":50660,"journal":{"name":"Communications in Contemporary Mathematics","volume":"36 1","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Contemporary Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1142/s0219199724500147","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper shows how a Levi-flat or pseudoconvex submanifold in a Kähler 4-manifold restricts the ambient manifold’s topology and its geometry at infinity.
期刊介绍:
With traditional boundaries between various specialized fields of mathematics becoming less and less visible, Communications in Contemporary Mathematics (CCM) presents the forefront of research in the fields of: Algebra, Analysis, Applied Mathematics, Dynamical Systems, Geometry, Mathematical Physics, Number Theory, Partial Differential Equations and Topology, among others. It provides a forum to stimulate interactions between different areas. Both original research papers and expository articles will be published.