4 papers
Synge's Theorem and a Sphere Theorem in Weighted Intermediate Ricci Curvature
Hasan M. El-Hasan, Curtis Pro
Using the tools developed by Kennard, Wylie, and Yeroshkin for weighted sectional curvature bounds, we generalize a theorem of Wilhelm to show that Synge's Theorem holds for manifo…
A characterization of complex projective space via the Calabi curvature operator
Hasan M. El-Hasan, Xiaolong Li, Jan Nienhaus +3
We prove a Tachibana-type result for Kähler-Einstein manifolds isolating complex projective space based on its Calabi curvature operator. The proof uses a new Bochner formula expre…
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…
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…