Do Riemannian Submersions Preserve Positive Intermediate Ricci Curvature?

Hasan M. El-Hasan, Russell Phelan, Frederick Wilhelm

Pro and the third author showed that there are Riemannian submersions $\pi :M\to B$ with $M$ a compact manifold with positive Ricci curvature, whose base $B$, has Ricci curvatures w…