activity
20152026
most citedVanishing conditions on Weyl tensor for Einstein-type manifolds

7 citations · 31 across the 27 of their papers we have counts for

collaborators

29 papers

math.DG2026

Semilinear overdetermined problems, a divergence formula, and geometric inequalities

Benedito Leandro, Ilton Menezes, Rafael Novais

Considering an -dimensional compact Riemannian manifold with a boundary that satisfies a Serrin-type problem, we prove sharp upper and lower bounds for the area of such a bounda…

math.DG2026

Solution for the Einstein-Maxwell equations invariant under an -dimensional group of dilations

Benedito Leandro, Ilton Menezes, Rafael Novais

We consider an electrostatic system whose spatial factor is conformal to an -dimensional Euclidean space. We provide a complete characterization of the most general ansatz, ther…

math.DG2025

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.DG2025

Sharp lower bound for the charged Hawking mass in the electrostatic space

Benedito Leandro, Guilherme Sabo

We prove sharp lower bounds for the charged Hawking mass of stable surfaces in electrostatic space-times in various contexts. An upper bound for the genus of stable surfaces in the…

math.DG2024★ 1 cited

Uniqueness of static vacuum asymptotically flat black holes and equipotential photon surfaces in dimensions à la Robinson

Carla Cederbaum, Albachiara Cogo, Benedito Leandro +1

In this paper, we combine and generalize to higher dimensions the approaches to proving the uniqueness of connected (3+1)-dimensional static vacuum asymptotically flat black hole s…

math.DG2023

Mass and topology of a static stellar model

Maria Andrade, Benedito Leandro, Thamara Policarpo

This study investigates the topological implications arising from stable (free boundary) minimal surfaces in a static perfect fluid space while ensuring that the fluid satisfies ce…