{"title":"一般双曲3-manifolds上的角度结构","authors":"Ge Huabin, Jia Longsong, Zhang Faze","doi":"arxiv-2408.14003","DOIUrl":null,"url":null,"abstract":"Let $M$ be a non-compact hyperbolic $3$-manifold with finite volume and\ntotally geodesic boundary components. By subdividing mixed ideal polyhedral\ndecompositions of $M$, under some certain topological conditions, we prove that\n$M$ has an ideal triangulation which admits an angle structure.","PeriodicalId":501271,"journal":{"name":"arXiv - MATH - Geometric Topology","volume":"6 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Angle structure on general hyperbolic 3-manifolds\",\"authors\":\"Ge Huabin, Jia Longsong, Zhang Faze\",\"doi\":\"arxiv-2408.14003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let $M$ be a non-compact hyperbolic $3$-manifold with finite volume and\\ntotally geodesic boundary components. By subdividing mixed ideal polyhedral\\ndecompositions of $M$, under some certain topological conditions, we prove that\\n$M$ has an ideal triangulation which admits an angle structure.\",\"PeriodicalId\":501271,\"journal\":{\"name\":\"arXiv - MATH - Geometric Topology\",\"volume\":\"6 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Geometric Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.14003\",\"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 - Geometric Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.14003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Let $M$ be a non-compact hyperbolic $3$-manifold with finite volume and
totally geodesic boundary components. By subdividing mixed ideal polyhedral
decompositions of $M$, under some certain topological conditions, we prove that
$M$ has an ideal triangulation which admits an angle structure.
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