DC Field | Value | Language |
---|---|---|
dc.contributor.author | Baik, Hyungryul | ko |
dc.contributor.author | Gekhtman, Ilya | ko |
dc.contributor.author | Hamenstaedt, Ursula. | ko |
dc.date.accessioned | 2020-05-18T07:20:08Z | - |
dc.date.available | 2020-05-18T07:20:08Z | - |
dc.date.created | 2019-11-20 | - |
dc.date.created | 2019-11-20 | - |
dc.date.issued | 2020-05 | - |
dc.identifier.citation | PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, v.120, no.5, pp.704 - 741 | - |
dc.identifier.issn | 0024-6115 | - |
dc.identifier.uri | http://hdl.handle.net/10203/274221 | - |
dc.description.abstract | We study the smallest positive eigenvalue lambda 1(M) of the Laplace-Beltrami operator on a closed hyperbolic 3-manifold M which fibers over the circle, with fiber a closed surface of genus g > 2. We show the existence of a constant C>0 only depending on g so that lambda 1(M)is an element of[C-1/vol(M)2,Clogvol(M)/vol(M)22g-2/(22g-2-1)] and that this estimate is essentially sharp. We show that if M is typical or random, then we have lambda 1(M)is an element of[C-1/vol(M)2,C/vol(M)2]. This rests on a result of independent interest about reccurence properties of axes of random pseudo-Anosov elements. | - |
dc.language | English | - |
dc.publisher | WILEY | - |
dc.title | The smallest positive eigenvalue of fibered hyperbolic 3-manifolds | - |
dc.type | Article | - |
dc.identifier.wosid | 000529680400003 | - |
dc.identifier.scopusid | 2-s2.0-85081218602 | - |
dc.type.rims | ART | - |
dc.citation.volume | 120 | - |
dc.citation.issue | 5 | - |
dc.citation.beginningpage | 704 | - |
dc.citation.endingpage | 741 | - |
dc.citation.publicationname | PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | - |
dc.identifier.doi | 10.1112/plms.12283 | - |
dc.contributor.localauthor | Baik, Hyungryul | - |
dc.contributor.nonIdAuthor | Gekhtman, Ilya | - |
dc.contributor.nonIdAuthor | Hamenstaedt, Ursula. | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | 58C40 | - |
dc.subject.keywordAuthor | 30F60 (primary) | - |
dc.subject.keywordAuthor | 20P05 (secondary) | - |
dc.subject.keywordPlus | KLEINIAN SURFACE GROUPS | - |
dc.subject.keywordPlus | GEODESICS | - |
dc.subject.keywordPlus | CLASSIFICATION | - |
dc.subject.keywordPlus | DISTANCE | - |
dc.subject.keywordPlus | GEOMETRY | - |
dc.subject.keywordPlus | VOLUMES | - |
dc.subject.keywordPlus | COMPLEX | - |
dc.subject.keywordPlus | BOUNDS | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.