{"title":"A quantitative study of orbit counting and discrete spectrum for anti-de Sitter 3-manifolds","authors":"K. Kannaka","doi":"10.3792/pjaa.97.018","DOIUrl":null,"url":null,"abstract":": Let (cid:2) be a discontinuous group for the 3-dimensional anti-de Sitter space AdS 3 : ¼ SO 0 ð 2 ; 2 Þ = SO 0 ð 2 ; 1 Þ . In this article, we discuss a growth rate of the counting of (cid:2) -orbits at infinity and the discrete spectrum of the hyperbolic Laplacian of the complete anti-de Sitter manifold (cid:2) n AdS 3 .","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3792/pjaa.97.018","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
: Let (cid:2) be a discontinuous group for the 3-dimensional anti-de Sitter space AdS 3 : ¼ SO 0 ð 2 ; 2 Þ = SO 0 ð 2 ; 1 Þ . In this article, we discuss a growth rate of the counting of (cid:2) -orbits at infinity and the discrete spectrum of the hyperbolic Laplacian of the complete anti-de Sitter manifold (cid:2) n AdS 3 .