On SO(3)-bundles over the Wolf spaces
Differential Geometry
2017-11-21 v2 Algebraic Topology
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.
Cite
@article{arxiv.1709.08806,
title = {On SO(3)-bundles over the Wolf spaces},
author = {Marisa Fernández and Jonatan Sánchez and Vicente Muñoz},
journal= {arXiv preprint arXiv:1709.08806},
year = {2017}
}
Comments
31 pages, no figures. V2. Improved version, title changed