On SO(3)-bundles over the Wolf spaces
We study the formality of the total space of principal SU(2) and SO(3)bundles over a Wolf space, that is a symmetric positive quaternionic K¨ahler manifold. We apply this to conclude that all the 3-Sasakian homogeneous spaces are formal. We also determine the principal SU(2) and SO(3)-bundles over t...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | español |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/13198 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/13198 |
| Access Level: | acceso abierto |
| Palabra clave: | 514.7 3-Sasakian homogeneous spaces 3-sphere bundles Wolf spaces formality Massey products. Geometría diferencial Topología 1204.04 Geometría Diferencial 1210 Topología |
| Sumario: | We study the formality of the total space of principal SU(2) and SO(3)bundles over a Wolf space, that is a symmetric positive quaternionic K¨ahler manifold. We apply this to conclude that all the 3-Sasakian homogeneous spaces are formal. We also determine the principal SU(2) and SO(3)-bundles over the Wolf spaces whose total space is non-formal. |
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