Projective deformations of weakly orderable hyperbolic Coxeter orbifolds

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dc.contributor.authorChoi, Suhyoungko
dc.contributor.authorLee, Gye-Seonko
dc.date.accessioned2016-04-20T06:31:51Z-
dc.date.available2016-04-20T06:31:51Z-
dc.date.created2015-08-13-
dc.date.created2015-08-13-
dc.date.created2015-08-13-
dc.date.issued2015-08-
dc.identifier.citationGEOMETRY TOPOLOGY, v.19, no.4, pp.1777 - 1828-
dc.identifier.issn1465-3060-
dc.identifier.urihttp://hdl.handle.net/10203/205404-
dc.description.abstractA Coxeter n-orbifold is an n-dimensional orbifold based on a polytope with silvered boundary facets. Each pair of adjacent facets meet on a ridge of some order m, whose neighborhood is locally modeled on R-n modulo the dihedral group of order 2 m generated by two reflections. For n >= 3, we study the deformation space of real projective structures on a compact Coxeter n-orbifold Q admitting a hyperbolic structure. Let e(+)(Q) be the number of ridges of order greater than or equal to 3. A neighborhood of the hyperbolic structure in the deformation space is a cell of dimension e(+)(Q) - n if n = 3 and Q is weakly orderable, ie the faces of Q can be ordered so that each face contains at most 3 edges of order 2 in faces of higher indices, or Q is based on a truncation polytope.-
dc.languageEnglish-
dc.publisherGEOMETRY TOPOLOGY PUBLICATIONS-
dc.titleProjective deformations of weakly orderable hyperbolic Coxeter orbifolds-
dc.typeArticle-
dc.identifier.wosid000365636000001-
dc.identifier.scopusid2-s2.0-84939179656-
dc.type.rimsART-
dc.citation.volume19-
dc.citation.issue4-
dc.citation.beginningpage1777-
dc.citation.endingpage1828-
dc.citation.publicationnameGEOMETRY TOPOLOGY-
dc.identifier.doi10.2140/gt.2015.19.1777-
dc.contributor.localauthorChoi, Suhyoung-
dc.contributor.nonIdAuthorLee, Gye-Seon-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordPlusCONVEX DECOMPOSITIONS-
dc.subject.keywordPlusDISCRETE-SUBGROUPS-
dc.subject.keywordPlusCOMPACT SURFACES-
dc.subject.keywordPlusREPRESENTATIONS-
dc.subject.keywordPlusCLASSIFICATION-
dc.subject.keywordPlusMANIFOLDS-
dc.subject.keywordPlusPOLYTOPES-
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