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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…