On SO(3)-bundles over the Wolf spaces
- Marisa Fernández 1
- Vicente Muñoz 2
- Jonatan Sánchez 1
- 1 Universidad del Pais Vasco, Bilbao
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2
Universidad de Málaga
info
ISSN: 0213-2230
Any de publicació: 2020
Volum: 36
Número: 1
Pàgines: 159-193
Tipus: Article
Altres publicacions en: Revista matemática iberoamericana
Resum
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 Kähler 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.