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Simply connected K-contact and Sasakian manifolds of dimension 7

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dc.contributor.authorMuñoz, Vicente
dc.contributor.authorTralle, Aleksy
dc.date.accessioned2023-06-19T14:56:17Z
dc.date.available2023-06-19T14:56:17Z
dc.date.issued2015
dc.description.abstractWe construct a compact simply-connected 7-dimensional manifold admitting a K-contact structure but not a Sasakian structure. We also study rational homotopy properties of such manifolds, proving in particular that a simply-connected 7-dimensional Sasakian manifold has vanishing cup-product on the second cohomology and that it is formal if and only if all its triple Massey products vanish.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/33162
dc.identifier.doi10.1007/s00209-015-1494-8
dc.identifier.issn0025-5874
dc.identifier.officialurlhttp://link.springer.com/article/10.1007%2Fs00209-015-1494-8
dc.identifier.relatedurlhttp://arxiv.org/pdf/1408.2496v2.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/34868
dc.issue.number1-2
dc.journal.titleMathematische Zeitschrift
dc.language.isoeng
dc.page.final470
dc.page.initial457
dc.publisherSpringer
dc.rights.accessRightsopen access
dc.subject.cdu514
dc.subject.cdu515.1
dc.subject.keywordContact structure
dc.subject.keywordFormality
dc.subject.keywordSasakian manifold
dc.subject.keywordSymplectic manifold
dc.subject.ucmGeometría
dc.subject.ucmTopología
dc.subject.unesco1204 Geometría
dc.subject.unesco1210 Topología
dc.titleSimply connected K-contact and Sasakian manifolds of dimension 7
dc.typejournal article
dc.volume.number281
dspace.entity.typePublication

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