DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Suhyoung | ko |
dc.contributor.author | Goldman, WM | ko |
dc.date.accessioned | 2013-03-02T19:58:28Z | - |
dc.date.available | 2013-03-02T19:58:28Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 1997-04 | - |
dc.identifier.citation | BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, v.34, no.2, pp.161 - 171 | - |
dc.identifier.issn | 0273-0979 | - |
dc.identifier.uri | http://hdl.handle.net/10203/75263 | - |
dc.description.abstract | Real projective structures (RP2-structures) on compact surfaces are classified. The space of projective equivalence classes of real projective structures on a closed orientable surface of genus g > 1 is a countable disjoint union of open cells of dimension 16g - 16. A key idea is Choi's admissible decomposition of a real projective structure into convex subsurfaces along closed geodesics. The deformation space of convex structures forms a connected component in the moduli space of representations of the fundamental group in PGL(3, R), establishing a conjecture of Hitchin. | - |
dc.language | English | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.title | The classification of real projective structures on compact surfaces | - |
dc.type | Article | - |
dc.identifier.wosid | A1997WU63100003 | - |
dc.identifier.scopusid | 2-s2.0-0039768877 | - |
dc.type.rims | ART | - |
dc.citation.volume | 34 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 161 | - |
dc.citation.endingpage | 171 | - |
dc.citation.publicationname | BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.identifier.doi | 10.1090/S0273-0979-97-00711-8 | - |
dc.contributor.localauthor | Choi, Suhyoung | - |
dc.contributor.nonIdAuthor | Goldman, WM | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | real projective structure | - |
dc.subject.keywordAuthor | convex real projective structure | - |
dc.subject.keywordAuthor | deformation space | - |
dc.subject.keywordAuthor | representation of fundamental groups | - |
dc.subject.keywordAuthor | developing map | - |
dc.subject.keywordAuthor | holonomy | - |
dc.subject.keywordAuthor | Teichmuller space | - |
dc.subject.keywordAuthor | Higgs bundle | - |
dc.subject.keywordAuthor | SL(3,R)-representation variety | - |
dc.subject.keywordPlus | CONVEX DECOMPOSITIONS | - |
dc.subject.keywordPlus | MANIFOLDS | - |
dc.subject.keywordPlus | GEOMETRY | - |
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