Cohomologically Kähler manifolds with no Kähler metrics.
| dc.contributor.author | Fernández, Marisa | |
| dc.contributor.author | Muñoz, Vicente | |
| dc.contributor.author | Santisteban, José A. | |
| dc.date.accessioned | 2023-06-20T18:43:54Z | |
| dc.date.available | 2023-06-20T18:43:54Z | |
| dc.date.issued | 2003 | |
| dc.description.abstract | We show some examples of compact symplectic solvmanifolds, of dimension greater than four, which are cohomologically Kähler and do not admit Kähler metric since their fundamental groups cannot be the fundamental group of any compact Kähler manifold. Some of the examples that we study were considered by Benson and Gordon (1990). However, whether such manifolds have Kähler metrics was an open question. The formality and the hard Lefschetz property are studied for the symplectic submanifolds constructed by Auroux (1997) and some consequences are discussed. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | MCYT | |
| dc.description.sponsorship | Research Training | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/21255 | |
| dc.identifier.doi | 10.1155/S0161171203211327 | |
| dc.identifier.issn | 0161-1712 | |
| dc.identifier.officialurl | http://www.hindawi.com/journals/ijmms/2003/954357/abs/ | |
| dc.identifier.relatedurl | http://www.hindawi.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/58459 | |
| dc.issue.number | 52 | |
| dc.journal.title | International Journal of Mathematics and Mathematical Sciences | |
| dc.language.iso | eng | |
| dc.page.final | 3325 | |
| dc.page.initial | 3315 | |
| dc.publisher | Hindawi Publishing Corporation | |
| dc.relation.projectID | BFM2000-0024 | |
| dc.relation.projectID | BFM2001-3778-C03-02. | |
| dc.relation.projectID | HPRN-CT-2000-00101 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 514 | |
| dc.subject.cdu | 515.1 | |
| dc.subject.ucm | Geometría | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1204 Geometría | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Cohomologically Kähler manifolds with no Kähler metrics. | |
| dc.type | journal article | |
| dc.volume.number | 2003 | |
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| dspace.entity.type | Publication |
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