DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Jin-Hong | ko |
dc.date.accessioned | 2013-03-11T05:49:53Z | - |
dc.date.available | 2013-03-11T05:49:53Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2011-03 | - |
dc.identifier.citation | JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, v.9, no.1, pp.55 - 62 | - |
dc.identifier.issn | 1661-7738 | - |
dc.identifier.uri | http://hdl.handle.net/10203/98427 | - |
dc.description.abstract | Let M be a closed Riemannian manifold of dimension 5 which admits a Riemannian metric of nonnegative sectional curvature. The aim of this short paper is to show that under certain lower bound of the orders of isotropy subgroups, every pseudofree and isometric S-1-action on M cannot have more than five exceptional circle orbits. As a consequence, we conclude that a pseudofree and isometric S-1-action on a 5-sphere S-5 with a Riemannian metric of nonnegative sectional curvature cannot have more than five exceptional circle orbits. This gives a result related to the Montgomery-Yang problem. In addition, we also give some further related result about nonnegatively curved manifolds of dimension 5 with an isometric but not necessarily pseudofree circle action. | - |
dc.language | English | - |
dc.publisher | BIRKHAUSER VERLAG AG | - |
dc.subject | SYMMETRY | - |
dc.subject | TOPOLOGY | - |
dc.subject | 4-MANIFOLDS | - |
dc.title | The number of exceptional orbits of a pseudofree circle action on S(5) | - |
dc.type | Article | - |
dc.identifier.wosid | 000291361000003 | - |
dc.identifier.scopusid | 2-s2.0-79651473248 | - |
dc.type.rims | ART | - |
dc.citation.volume | 9 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 55 | - |
dc.citation.endingpage | 62 | - |
dc.citation.publicationname | JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | - |
dc.contributor.localauthor | Kim, Jin-Hong | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Pseudofree circle actions | - |
dc.subject.keywordAuthor | Montgomery-Yang problem | - |
dc.subject.keywordPlus | SYMMETRY | - |
dc.subject.keywordPlus | TOPOLOGY | - |
dc.subject.keywordPlus | 4-MANIFOLDS | - |
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