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 |
| Summary: | 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. |
|---|