3 papers
math.DG2026
Geometric inequalities for electrostatic systems with boundary
Allan Freitas, Benedito Leandro, Ernani Ribeiro +1
In this article, we investigate electrostatic systems with a nonzero cosmological constant on compact manifolds with boundary. We establish new geometric properties for electrostat…
math.DG2024
A congruence theorem for compact embedded hypersurfaces in
Allan Freitas, Felippe Guimarães
We prove a codimension reduction and congruence theorem for compact -dimensional submanifolds of that admit a mean convex isometric embedding into $\mathbb{S}…
math.DG2024
Gap results and existence of CMC free boundary hypersurfaces in rotational domains
Allan Freitas, Márcio Santos, J. Sindeaux
In this paper, we work with the existence and uniqueness of free boundary constant mean curvature hypersurfaces in rotational domains. These are domains whose boundary is generated…