2 papers
math.DG2020
Disks area-minimizing in mean convex Riemannian -manifolds
Ezequiel Barbosa, Franciele Conrado
We prove the validity of an inequality involving a mean of the area and the length of the boundary of immersed disks whose boundaries are homotopically non-trivial curves in an ori…
math.DG2018
Topological obstructions to nonnegative scalar curvature and mean convex boundary
Ezequiel Barbosa, Franciele Conrado
We study topological obstructions to the existence of a Riemannian metric on manifolds with boundary such that the scalar curvature is non-negative and the boundary is mean convex.…