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On SO(3)-bundles over the Wolf spaces
Published 26 Sep 2017 in math.DG and math.AT | (1709.08806v2)
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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