2 papers
math.DG2025
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 with a compact manifold with positive Ricci curvature, whose base , has Ricci curvatures w…
math.DG2024
Random 3-Manifolds Have No Totally Geodesic Submanifolds
Hasan M. El-Hasan, Frederick Wilhelm
Murphy and the second author showed that a generic closed Riemannian manifold has no totally geodesic submanifolds, provided it is at least four dimensional. Lytchak and Petrunin e…