2 papers
math.DG2025
On the topology of manifolds with positive intermediate curvature
Liam Mazurowski, Tongrui Wang, Xuan Yao
We formulate a conjecture relating the topology of a manifold's universal cover with the existence of metrics with positive -intermediate curvature. We prove the result for mani…
math.DG2023
Curvature estimates for stable free boundary minimal hypersurfaces in locally wedge-shaped manifolds
Liam Mazurowski, Tongrui Wang
In this paper, we consider locally wedge-shaped manifolds, which are Riemannian manifolds that are allowed to have both boundary and certain types of edges. We define and study the…