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...
| Authors: | ; |
|---|---|
| Format: | Article |
| Publication date: | 2015 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | English |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/34868 |
| Online Access: | https://hdl.handle.net/20.500.14352/34868 |
| Access Level: | Open access |
| Keyword: | 514 515.1 Contact structure Formality Sasakian manifold Symplectic manifold Geometría Topología 1204 Geometría 1210 Topología |
| _version_ | 1878737655088283648 |
|---|---|
| author | Muñoz, Vicente |
| author2 | Tralle, Aleksy |
| author2_role | author |
| author_browse | Muñoz, Vicente Tralle, Aleksy |
| author_facet | Muñoz, Vicente Tralle, Aleksy |
| author_role | author |
| collection | Docta Complutense |
| 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_a2fef087eb00a44738a3fc2caf498b87 |
| institution | Universidad Complutense de Madrid (UCM) |
| instname_str | Universidad Complutense de Madrid (UCM) |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:docta.ucm.es:20.500.14352/34868 |
| publishDate | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| publisherStr | Springer |
| reponame_str | Docta Complutense |
| spelling | Simply connected K-contact and Sasakian manifolds of dimension 7 Muñoz, Vicente Tralle, Aleksy 514 515.1 Contact structure Formality Sasakian manifold Symplectic manifold Geometría Topología 1204 Geometría 1210 Topología 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. Springer https://hdl.handle.net/20.500.14352/34868 |
| 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 | 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_short | Simply connected K-contact and Sasakian manifolds of dimension 7 |
| title_sort | Simply connected K-contact and Sasakian manifolds of dimension 7 |
| topic | 514 515.1 Contact structure Formality Sasakian manifold Symplectic manifold Geometría Topología 1204 Geometría 1210 Topología |
| topic_facet | 514 515.1 Contact structure Formality Sasakian manifold Symplectic manifold Geometría Topología 1204 Geometría 1210 Topología |
| url | https://hdl.handle.net/20.500.14352/34868 |