Geometric structures on manifolds and holonomy-invariant metrics

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dc.contributor.authorChoi, Suhyoungko
dc.contributor.authorLee, Hko
dc.date.accessioned2013-02-27T21:29:23Z-
dc.date.available2013-02-27T21:29:23Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued1997-
dc.identifier.citationFORUM MATHEMATICUM, v.9, no.2, pp.247 - 256-
dc.identifier.issn0933-7741-
dc.identifier.urihttp://hdl.handle.net/10203/70952-
dc.description.abstractLet a manifold M have a geometric structure modelled on the pair (G, X) of a Lie group G and a manifold X on which G acts; that is, the universal cover (M) over tilde of M has an immersion dev: (M) over tilde --> X equivariant with respect to the holonomy homomorphism h:pi(1)(M) --> G. If the image of dev intersects an open subset U of X that has a complete h(pi(1)(M))-invariant metric with certain properties, then dev(-1) (U) covers U under dev, and covers an open submanifold of M under the covering map (M) over tilde --> M. This fills the gap in the proofs of the results of Faltings and Goldman on real and complex projective surfaces.-
dc.languageEnglish-
dc.publisherWALTER DE GRUYTER CO-
dc.titleGeometric structures on manifolds and holonomy-invariant metrics-
dc.typeArticle-
dc.identifier.wosidA1997WQ99300006-
dc.identifier.scopusid2-s2.0-0031285545-
dc.type.rimsART-
dc.citation.volume9-
dc.citation.issue2-
dc.citation.beginningpage247-
dc.citation.endingpage256-
dc.citation.publicationnameFORUM MATHEMATICUM-
dc.identifier.doi10.1515/form.1997.9.247-
dc.contributor.localauthorChoi, Suhyoung-
dc.contributor.nonIdAuthorLee, H-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordPlusREAL PROJECTIVE-STRUCTURES-
dc.subject.keywordPlusCONVEX DECOMPOSITIONS-
dc.subject.keywordPlusSURFACES-
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