Simply connected K-contact and Sasakian manifolds of dimension 7

We 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 se...

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Detalles Bibliográficos
Autores: Muñoz, Vicente, Tralle, Aleksy
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/34868
Acceso en línea:https://hdl.handle.net/20.500.14352/34868
Access Level:acceso abierto
Palabra clave:514
515.1
Contact structure
Formality
Sasakian manifold
Symplectic manifold
Geometría
Topología
1204 Geometría
1210 Topología
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oai_identifier_str oai:docta.ucm.es:20.500.14352/34868
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repository_id_str
spelling Simply connected K-contact and Sasakian manifolds of dimension 7Muñoz, VicenteTralle, Aleksy514515.1Contact structureFormalitySasakian manifoldSymplectic manifoldGeometríaTopología1204 Geometría1210 TopologíaWe 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.SpringerUniversidad Complutense de Madrid20152015-01-0120152015-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/34868reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/348682026-06-02T12:44:21Z
dc.title.none.fl_str_mv Simply connected K-contact and Sasakian manifolds of dimension 7
title Simply connected K-contact and Sasakian manifolds of dimension 7
spellingShingle Simply connected K-contact and Sasakian manifolds of dimension 7
Muñoz, Vicente
514
515.1
Contact structure
Formality
Sasakian manifold
Symplectic manifold
Geometría
Topología
1204 Geometría
1210 Topología
title_short Simply connected K-contact and Sasakian manifolds of dimension 7
title_full Simply connected K-contact and Sasakian manifolds of dimension 7
title_fullStr Simply connected K-contact and Sasakian manifolds of dimension 7
title_full_unstemmed Simply connected K-contact and Sasakian manifolds of dimension 7
title_sort Simply connected K-contact and Sasakian manifolds of dimension 7
dc.creator.none.fl_str_mv Muñoz, Vicente
Tralle, Aleksy
author Muñoz, Vicente
author_facet Muñoz, Vicente
Tralle, Aleksy
author_role author
author2 Tralle, Aleksy
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 514
515.1
Contact structure
Formality
Sasakian manifold
Symplectic manifold
Geometría
Topología
1204 Geometría
1210 Topología
topic 514
515.1
Contact structure
Formality
Sasakian manifold
Symplectic manifold
Geometría
Topología
1204 Geometría
1210 Topología
description We 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.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-01-01
2015
2015-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/34868
url https://hdl.handle.net/20.500.14352/34868
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869415343972155392
score 15.300724

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