DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Suhyoung | ko |
dc.contributor.author | Hodgson, Craig D. | ko |
dc.contributor.author | Lee, Gye-Seon | ko |
dc.date.accessioned | 2013-03-12T08:34:35Z | - |
dc.date.available | 2013-03-12T08:34:35Z | - |
dc.date.created | 2012-06-19 | - |
dc.date.created | 2012-06-19 | - |
dc.date.created | 2012-06-19 | - |
dc.date.issued | 2012-08 | - |
dc.identifier.citation | GEOMETRIAE DEDICATA, v.159, no.1, pp.125 - 167 | - |
dc.identifier.issn | 0046-5755 | - |
dc.identifier.uri | http://hdl.handle.net/10203/101799 | - |
dc.description.abstract | By using Klein's model for hyperbolic geometry, hyperbolic structures on orbifolds or manifolds provide examples of real projective structures. By Andreev's theorem, many 3-dimensional reflection orbifolds admit a finite volume hyperbolic structure, and such a hyperbolic structure is unique. However, the induced real projective structure on some such 3-orbifolds deforms into a family of real projective structures that are not induced from hyperbolic structures. In this paper, we find new classes of compact and complete hyperbolic reflection 3-orbifolds with such deformations. We also explain numerical and exact results on projective deformations of some compact hyperbolic cubes and dodecahedra. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.title | Projective deformations of hyperbolic Coxeter 3-orbifolds | - |
dc.type | Article | - |
dc.identifier.wosid | 000306064900010 | - |
dc.identifier.scopusid | 2-s2.0-84864319111 | - |
dc.type.rims | ART | - |
dc.citation.volume | 159 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 125 | - |
dc.citation.endingpage | 167 | - |
dc.citation.publicationname | GEOMETRIAE DEDICATA | - |
dc.identifier.doi | 10.1007/s10711-011-9650-8 | - |
dc.contributor.localauthor | Choi, Suhyoung | - |
dc.contributor.nonIdAuthor | Hodgson, Craig D. | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Real projective structure | - |
dc.subject.keywordAuthor | Orbifold | - |
dc.subject.keywordAuthor | Moduli space | - |
dc.subject.keywordAuthor | Coxeter groups | - |
dc.subject.keywordAuthor | Representations of groups | - |
dc.subject.keywordPlus | CONVEX DECOMPOSITIONS | - |
dc.subject.keywordPlus | DISCRETE-SUBGROUPS | - |
dc.subject.keywordPlus | LIE GROUPS | - |
dc.subject.keywordPlus | REPRESENTATIONS | - |
dc.subject.keywordPlus | SURFACES | - |
dc.subject.keywordPlus | ORBIFOLDS | - |
dc.subject.keywordPlus | POLYHEDRA | - |
dc.subject.keywordPlus | SPACES | - |
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