On the Classification of Positive Quaternionic Kahler Manifolds with b(4)=1

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dc.contributor.authorKim, Jin-Hongko
dc.contributor.authorLee, Hee Kwonko
dc.date.accessioned2013-03-11T05:49:16Z-
dc.date.available2013-03-11T05:49:16Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2010-05-
dc.identifier.citationACTA MATHEMATICA SINICA-ENGLISH SERIES, v.26, no.5, pp.875 - 884-
dc.identifier.issn1439-8516-
dc.identifier.urihttp://hdl.handle.net/10203/98425-
dc.description.abstractLet M be a positive quaternionic Kahler manifold of dimension 4m. We already showed that if the symmetry rank is greater than or equal to [m/2] + 2 and the fourth Betti number b(4) is equal to one, then M is isometric to HPm. The goal of this paper is to report that we can improve the lower bound of the symmetry rank by one for higher even-dimensional positive quaternionic Kahler manifolds. Namely, it is shown in this paper that if the symmetry rank of M with b(4)(M) = 1 is greater than or equal to m/2 + 1 for m >= 10, then M is isometric to HPm. One of the main strategies of this paper is to apply a more delicate argument of Frankel type to positive quaternionic Kahler manifolds with certain symmetry rank.-
dc.languageEnglish-
dc.publisherSPRINGER HEIDELBERG-
dc.subjectSYMMETRY RANK-
dc.titleOn the Classification of Positive Quaternionic Kahler Manifolds with b(4)=1-
dc.typeArticle-
dc.identifier.wosid000277368400007-
dc.identifier.scopusid2-s2.0-77952266155-
dc.type.rimsART-
dc.citation.volume26-
dc.citation.issue5-
dc.citation.beginningpage875-
dc.citation.endingpage884-
dc.citation.publicationnameACTA MATHEMATICA SINICA-ENGLISH SERIES-
dc.identifier.doi10.1007/s10114-010-8131-6-
dc.contributor.localauthorKim, Jin-Hong-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorpositive-
dc.subject.keywordAuthorquaternionic Kahler-
dc.subject.keywordAuthorsymmetry-
dc.subject.keywordPlusSYMMETRY RANK-
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