DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Suhyoung | ko |
dc.date.accessioned | 2008-10-15T02:53:23Z | - |
dc.date.available | 2008-10-15T02:53:23Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2003-03 | - |
dc.identifier.citation | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.40, no.2, pp.319 - 340 | - |
dc.identifier.issn | 0304-9914 | - |
dc.identifier.uri | http://hdl.handle.net/10203/7663 | - |
dc.description.abstract | Geometric structures on 3-manifolds are often projectively flat structures. Projectively flat structures on 3-manifolds are given by atlases of charts to RP3 with projective transition maps. Equivalently, they are given by projectively flat torsion-free connections. We study the question of putting projective structures on 3-manifolds. This is done by triangulating a given 3 manifold, and then reducing the question to a 2-dimensional classical projective geometry problem produced by the Haken diagram of the 3-manifold. Next, we show that the 2-dimensional problem can be reduced to solving a system of homogeneous equations that are in product forms of scalar triple products of vectors. Finally, we will compute the deformation spaces of projective structures on a small class of 3-orbifolds. | - |
dc.description.sponsorship | Research supported by the LG Yonam foundation. | en |
dc.language | English | - |
dc.language.iso | en_US | en |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.title | Geometric structures on low-dimensional manifolds | - |
dc.type | Article | - |
dc.identifier.wosid | 000181463300011 | - |
dc.identifier.scopusid | 2-s2.0-18444400199 | - |
dc.type.rims | ART | - |
dc.citation.volume | 40 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 319 | - |
dc.citation.endingpage | 340 | - |
dc.citation.publicationname | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.embargo.liftdate | 9999-12-31 | - |
dc.embargo.terms | 9999-12-31 | - |
dc.contributor.localauthor | Choi, Suhyoung | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | projectively flat structure on 3-manifolds | - |
dc.subject.keywordAuthor | real algebraic set | - |
dc.subject.keywordAuthor | homogeneous polynomial equation | - |
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