{"title":"四元投影空间 HP^3 中的全实平面极小曲面空间","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":"201 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":\"201 1\",\"pages\":\"\"},\"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}","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}
The space of totally real flat minimal surfaces in the Quaternionic projective space HP^3
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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