18 citations · 63 across the 18 of their papers we have counts for
4 papers · 1 filter
Qualitative and quantitative estimates for minimal hypersurfaces with bounded index and area
Reto Buzano, Ben Sharp
We prove qualitative estimates on the total curvature of closed minimal hypersurfaces in closed Riemannian manifolds in terms of their index and area, restricting to the case where…
Compactness of the space of minimal hypersurfaces with bounded volume and p-th Jacobi eigenvalue
Lucas Ambrozio, Alessandro Carlotto, Ben Sharp
Given a closed Riemannian manifold of dimenion less than eight, we prove a compactness result for the space of closed, embedded minimal hypersurfaces satisfying a volume bound and…
Smooth compactness of -minimal hypersurfaces with bounded -index
Ezequiel Barbosa, Ben Sharp, Yong Wei
Let be a complete smooth metric measure space with and Bakry-Émery Ricci curvature bounded below by a positive constant. We prove a smooth co…
Compactness of minimal hypersurfaces with bounded index
Ben Sharp
We prove a compactness result for minimal hypersurfaces with bounded index and volume, which can be thought of as an extension of the compactness theorem of Choi-Schoen (Invent. Ma…