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math.DG2022★ 2 cited
A local rigidity theorem for minimal two-spheres in an electrovacuum spacetime
Halyson Baltazar, Abdênago Barros, Rondinelle Batista
The purpose of this article is to prove that, under suitable constrains on the electrovacuum spacetime , if is an embedded strictly stable minimal two-sphere which…
math.DG2022
Critical metrics of the volume functional with pinched curvature
Halyson Baltazar, Christopher Queiroz
In this paper, we prove that a critical metric of the volume functional with pinched Weyl curvature is isometric to a geodesic ball in Moreover, we provide a nece…