{"title":"基于Iwasawa分裂的三维de Sitter空间类空间常平均曲率和最大曲面","authors":"Yuta Ogata","doi":"10.21099/tkbjm/1461270060","DOIUrl":null,"url":null,"abstract":". We study the construction of spacelike constant mean curvature (CMC) surfaces with mean curvature 0 a H < 1 in 3-dimensional de Sitter space S 2 ; 1 , by using Iwasawa splitting. We also study their singularities and create some criteria for them.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/tkbjm/1461270060","citationCount":"0","resultStr":"{\"title\":\"Spacelike constant mean curvature and maximal surfaces in 3-dimensional de Sitter space via Iwasawa splitting\",\"authors\":\"Yuta Ogata\",\"doi\":\"10.21099/tkbjm/1461270060\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We study the construction of spacelike constant mean curvature (CMC) surfaces with mean curvature 0 a H < 1 in 3-dimensional de Sitter space S 2 ; 1 , by using Iwasawa splitting. We also study their singularities and create some criteria for them.\",\"PeriodicalId\":44321,\"journal\":{\"name\":\"Tsukuba Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2016-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.21099/tkbjm/1461270060\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tsukuba Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21099/tkbjm/1461270060\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tsukuba Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21099/tkbjm/1461270060","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
。研究了三维de Sitter空间s2中平均曲率为0 a H < 1的类空间常平均曲率曲面的构造;1、采用岩泽劈法。我们还研究了它们的奇异性，并为它们建立了一些准则。
Spacelike constant mean curvature and maximal surfaces in 3-dimensional de Sitter space via Iwasawa splitting
. We study the construction of spacelike constant mean curvature (CMC) surfaces with mean curvature 0 a H < 1 in 3-dimensional de Sitter space S 2 ; 1 , by using Iwasawa splitting. We also study their singularities and create some criteria for them.
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