{"title":"The space of totally real flat minimal surfaces in the Quaternionic projective space HP^3","authors":"Chuzi Duan, Ling He","doi":"arxiv-2409.11931","DOIUrl":null,"url":null,"abstract":"We prove that the moduli space of all noncongruent linearly full totally real\nflat minimal immersions from the complex plane C into HP^3 that do not lie in\nCP^3 has three components, each of which is a manifold of real dimension 6. As\nan application, we give a description of the moduli space of all noncongruent\nlinearly full totally real flat minimal tori in HP^3 that do not lie in CP^3.","PeriodicalId":501113,"journal":{"name":"arXiv - MATH - Differential Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Differential Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.11931","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 that the moduli space of all noncongruent linearly full totally real
flat minimal immersions from the complex plane C into HP^3 that do not lie in
CP^3 has three components, each of which is a manifold of real dimension 6. As
an application, we give a description of the moduli space of all noncongruent
linearly full totally real flat minimal tori in HP^3 that do not lie in CP^3.
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