DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Jin-Hong | ko |
dc.date.accessioned | 2013-03-11T05:47:37Z | - |
dc.date.available | 2013-03-11T05:47:37Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2011-07 | - |
dc.identifier.citation | INTERNATIONAL JOURNAL OF MATHEMATICS, v.22, no.7, pp.981 - 990 | - |
dc.identifier.issn | 0129-167X | - |
dc.identifier.uri | http://hdl.handle.net/10203/98420 | - |
dc.description.abstract | It is well known by the work of Hsiang and Kleiner that every closed oriented positively curved four-dimensional manifold with an effective isometric S-1-action is homeomorphic to S-4 or CP2. As stated, it is a topological classification. The primary goal of this paper is to show that it is indeed a diffeomorphism classification for such four-dimensional manifolds. The proof of this diffeomorphism classification also shows an even stronger statement that every positively curved simply connected four-manifold with an isometric circle action admits another smooth circle action which extends to a two-dimensional torus action and is equivariantly diffeomorphic to a linear action on S-4 or CP2. The main strategy is to analyze all possible topological configurations of effective circle actions on simply connected four-manifolds by using the so-called replacement trick of Pao. | - |
dc.language | English | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject | CIRCLE ACTIONS | - |
dc.subject | MANIFOLDS | - |
dc.subject | SYMMETRY | - |
dc.subject | CURVATURE | - |
dc.subject | TOPOLOGY | - |
dc.subject | TORUS | - |
dc.title | ON POSITIVELY CURVED FOUR-MANIFOLDS WITH S(1)-SYMMETRY | - |
dc.type | Article | - |
dc.identifier.wosid | 000293292400006 | - |
dc.identifier.scopusid | 2-s2.0-79961074114 | - |
dc.type.rims | ART | - |
dc.citation.volume | 22 | - |
dc.citation.issue | 7 | - |
dc.citation.beginningpage | 981 | - |
dc.citation.endingpage | 990 | - |
dc.citation.publicationname | INTERNATIONAL JOURNAL OF MATHEMATICS | - |
dc.contributor.localauthor | Kim, Jin-Hong | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Positively curved four-manifolds | - |
dc.subject.keywordAuthor | circle symmetry | - |
dc.subject.keywordAuthor | fixed-point sets | - |
dc.subject.keywordAuthor | diffeomorphism classification | - |
dc.subject.keywordPlus | CIRCLE ACTIONS | - |
dc.subject.keywordPlus | MANIFOLDS | - |
dc.subject.keywordPlus | SYMMETRY | - |
dc.subject.keywordPlus | CURVATURE | - |
dc.subject.keywordPlus | TOPOLOGY | - |
dc.subject.keywordPlus | TORUS | - |
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