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math.DG2015★ 1 cited
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…
math.DG2015★ 11 cited
On static three-manifolds with positive scalar curvature
L. Ambrozio
We compute a Bochner type formula for static three-manifolds and deduce some applications in the case of positive scalar curvature. We also explain in details the known general con…