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arXiv · 1709.08806

On SO(3)-bundles over the Wolf spaces

Marisa Fernández·Jonatan Sánchez·Vicente Muñoz
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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\"ahker 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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Marisa Fernández, Jonatan Sánchez, Vicente Muñoz. 2017-09-26. On SO(3)-bundles over the Wolf spaces. https://arxiv.org/abs/1709.08806

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