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On SO(3)-bundles over the Wolf spaces

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Fernández, Marisa and Muñoz, Vicente and Sánchez, Jonatan On SO(3)-bundles over the Wolf spaces. pp. 1-31. (Unpublished)

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Abstract

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.


Item Type:Article
Uncontrolled Keywords:3-Sasakian homogeneous spaces, 3-sphere bundles, Wolf spaces, formality, Massey products.
Subjects:Sciences > Mathematics > Differential geometry
Sciences > Mathematics > Topology
ID Code:54862
Deposited On:02 Apr 2019 12:03
Last Modified:02 Apr 2019 12:07

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