5 citations · 25 across the 13 of their papers we have counts for
3 papers · 1 filter
The halfspace theorem for minimal hypersurfaces in regions bounded by minimal cones
Marcos Petrúcio Cavalcante, Wagner Oliveira Costa-Filho
We prove that there are no minimal hypersurfaces properly immersed in any region of the Euclidean space bounded by unstable minimal cones. We also prove the analogous result for $r…
Vanishing theorems for the cohomology groups of free boundary hypersurfaces
Marcos P. Cavalcante, Abraão Mendes, Feliciano Vitório
In this paper, we prove that there exists a universal constant , depending only on positive integers and , such that if is a compact free boundary sub…
Index Estimates for Free Boundary Constant Mean Curvature Surfaces
Marcos P. Cavalcante, Darlan F. de Oliveira
In this paper, we consider compact free boundary constant mean curvature surfaces immersed in a mean convex body of the Euclidean space or in the unit sphere. We prove that the Mor…