The Margulis lemma and the thick and thin decomposition for convex real projective surfaces

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dc.contributor.authorChoi, Suhyoungko
dc.date.accessioned2008-10-10T08:37:59Z-
dc.date.available2008-10-10T08:37:59Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued1996-09-
dc.identifier.citationADVANCES IN MATHEMATICS, v.122, no.1, pp.150 - 191-
dc.identifier.issn0001-8708-
dc.identifier.urihttp://hdl.handle.net/10203/7646-
dc.description.abstractConvex real projective surfaces are quotients of simply convex domains in the real projective plane RP(2) under the properly discontinuous and free action of a projective automorphism group. Such surfaces carry Hilbert metrics defined by logarithms of cross ratios. We prove an analogous proposition to the Margulis lemma in hyperbolic geometry holding for such a surface Sigma with a Hilbert metric. This allows us to decompose Sigma into thick and thin components. We show a compactness result that given a certain collection of simple closed curves alpha(1), ..., alpha(n) on Sigma, the subset of the deformation space of convex structures P(Sigma) corresponding to structures where the Hilbert lengths of alpha(1), ..., alpha(n) are hounded above is compact. (C) 1996 Academic Press, Inc.-
dc.description.sponsorshipThe research partially supported by grants from the GARC-KOSEF and the Basic Science Research Institute Program of the Ministry of Education of Korea, Project No. BSRI-94-1404.en
dc.languageEnglish-
dc.language.isoen_USen
dc.publisherACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS-
dc.titleThe Margulis lemma and the thick and thin decomposition for convex real projective surfaces-
dc.typeArticle-
dc.identifier.wosidA1996VF88600003-
dc.identifier.scopusid2-s2.0-0030241014-
dc.type.rimsART-
dc.citation.volume122-
dc.citation.issue1-
dc.citation.beginningpage150-
dc.citation.endingpage191-
dc.citation.publicationnameADVANCES IN MATHEMATICS-
dc.identifier.doi10.1006/aima.1996.0058-
dc.embargo.liftdate9999-12-31-
dc.embargo.terms9999-12-31-
dc.contributor.localauthorChoi, Suhyoung-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
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