arXiv subjects

Guilherme Sabo

Publications and source records attributed to Guilherme Sabo.

2 recordsLinked to original sources

arXiv2026

Geometric inequalities for electrostatic systems with boundary

In this article, we investigate electrostatic systems with a nonzero cosmological constant on compact manifolds with boundary. We establish new geometric properties for electrostatic manifolds in higher dimensions, extending previous results in the literature. Moreover, we prove sharp boundary estimates and isoperimetric-type inequalities for electrostatic manifolds, as well as volume and boundary inequalities involving the Brown-York and Hawking masses.

math.DG↗

arXiv2025

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

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 electrostatic system is provided. We also study the positivity for the charged Hawking mass of a minimal surface with index one in the electrostatic space-times. A criterion for a CMC surface in the Reissner-Nordstrom deSitter space to be stable is presented.

math.DG↗