dc.contributor.author | Mumford, David Bryant | |
dc.date.accessioned | 2010-02-02T14:35:32Z | |
dc.date.issued | 1971 | |
dc.identifier.citation | Mumford, David B. 1971. A remark on Mahler's compactness theorem. Proceedings of the American Mathematical Society 28(1): 289-294. | en_US |
dc.identifier.issn | 0002-9939 | en_US |
dc.identifier.uri | http://nrs.harvard.edu/urn-3:HUL.InstRepos:3612773 | |
dc.description.abstract | We prove that if G is a semisimple Lie group without compact factors, then for all open sets U⊂G containing the unipotent elements of G and for all C>0, the set of discrete subgroups Γ⊂G such that
(a) Γ∩U={e},
(b) G/Γ compact and measure (G/Γ)≤C,
is compact. As an application, for any genus g and ∈>0, the set of compact Riemann surfactes fo genus g all of whose closed geodesics in the Poincare metric have length ≥∈, is itself compact. | en_US |
dc.description.sponsorship | Mathematics | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | American Mathematical Society | en_US |
dc.relation.isversionof | doi:10.2307/2037802 | en_US |
dc.relation.hasversion | http://www.dam.brown.edu/people/mumford/Papers/DigitizedAlgGeomPapers--ForNon-CommercialUse/71b--MahlerComp.pdf | en_US |
dash.license | LAA | |
dc.title | A Remark on Mahler's Compactness Theorem | en_US |
dc.type | Journal Article | en_US |
dc.description.version | Version of Record | en_US |
dc.relation.journal | Proceedings- American Mathematical Society | en_US |
dash.depositing.author | Mumford, David Bryant | |
dc.date.available | 2010-02-02T14:35:32Z | |
dc.identifier.doi | 10.2307/2037802 | * |
dash.contributor.affiliated | Mumford, David | |