2 citations · 9 across the 26 of their papers we have counts for
4 papers · 2 filters
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.…
A remark on a curvature gap for minimal surfaces in the ball
Ezequiel Barbosa, Celso Viana
We extend to higher codimension earlier characterization of the equatorial disk and the critical catenoid by a pinching condition on the length of their second fundamental form amo…
Uniqueness results for free-boundary minimal hypersurfaces in conformally Euclidean balls and annular domains
Ezequiel Barbosa, Edno Pereira, Rosivaldo Antônio Gonçalves
In this paper we prove that a flat free-boundary minimal -disk, , in the unit Euclidean ball is the unique compact free boundary minimal hypersurface in the un…
Area rigidity for the equatorial disk in the ball
Ezequiel Barbosa, Celso Viana
It is proved by Brendle in [4] that the equatorial disk has least area among -dimensional free boundary minimal surfaces in the Euclidean ball . By comparing the exce…