3 papers
math.DG2020
Gap results for free boundary CMC surfaces in conformally Euclidean three-balls
Maria Andrade, Ezequiel Barbosa, Edno Pereira
In this work, we consider as the Euclidean three-ball with radius equipped with the metric conformal t…
math.DG2019
Gap phenomena for constant mean curvature surfaces
Ezequiel Barbosa, Marcos P. Cavalcante, Edno Pereira
In this paper, we prove gap results for constant mean curvature (CMC) surfaces. Firstly, we find a natural inequality for CMC surfaces which imply convexity for distance function.…
math.DG2018
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…