DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Jin-Hong | ko |
dc.contributor.author | Lee, Hee Kwon | ko |
dc.date.accessioned | 2013-03-11T05:49:16Z | - |
dc.date.available | 2013-03-11T05:49:16Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2010-05 | - |
dc.identifier.citation | ACTA MATHEMATICA SINICA-ENGLISH SERIES, v.26, no.5, pp.875 - 884 | - |
dc.identifier.issn | 1439-8516 | - |
dc.identifier.uri | http://hdl.handle.net/10203/98425 | - |
dc.description.abstract | Let 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.language | English | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.subject | SYMMETRY RANK | - |
dc.title | On the Classification of Positive Quaternionic Kahler Manifolds with b(4)=1 | - |
dc.type | Article | - |
dc.identifier.wosid | 000277368400007 | - |
dc.identifier.scopusid | 2-s2.0-77952266155 | - |
dc.type.rims | ART | - |
dc.citation.volume | 26 | - |
dc.citation.issue | 5 | - |
dc.citation.beginningpage | 875 | - |
dc.citation.endingpage | 884 | - |
dc.citation.publicationname | ACTA MATHEMATICA SINICA-ENGLISH SERIES | - |
dc.identifier.doi | 10.1007/s10114-010-8131-6 | - |
dc.contributor.localauthor | Kim, Jin-Hong | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | positive | - |
dc.subject.keywordAuthor | quaternionic Kahler | - |
dc.subject.keywordAuthor | symmetry | - |
dc.subject.keywordPlus | SYMMETRY RANK | - |
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