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arXiv:1709.08806 [math.DG]AbstractReferencesReviewsResources

Homotopic properties of 3-Sasakian homogeneous spaces

Marisa Fernández, Jonathan Sánchez, Vicente Muñoz

Published 2017-09-26Version 1

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 are non-formal.

Comments: 27 pages, no figures
Categories: math.DG, math.AT
Subjects: 53C25, 55P62, 57N65, 55S30, 53C26
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