Homogeneous non-degenerate $3$-$(\alpha ,\delta )$-Sasaki manifolds and submersions over quaternionic Kähler spaces

Ilka Agricola, Giulia Dileo, Leander Stecker

We show that every $3$-$(\alpha ,\delta )$-Sasaki manifold of dimension $4n+3$ admits a locally defined Riemannian submersion over a quaternionic Kähler manifold of scalar curvature $16n(n+2…