{"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}
引用次数: 0
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.