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...
| Autores: | ; |
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| Tipo de documento: | Artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/34868 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/34868 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | 514 515.1 Contact structure Formality Sasakian manifold Symplectic manifold Geometría Topología 1204 Geometría 1210 Topología |
| Sumario: | 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. |
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