3 papers
math.DG2023
A harmonic level set proof of a positive mass theorem
Rondinelle Batista, Levi Lopes de Lima
We provide a harmonic level set proof of the positive mass theorem for asymptotically flat -manifolds with a non-compact boundary first established by Almaraz-Barbosa-de Lima.
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.DG2016
Critical metrics of the volume functional on compact three-manifolds with smooth boundary
R. Batista, R. Diógenes, M. Ranieri +1
We study the space of smooth Riemannian structures on compact three-manifolds with boundary that satisfies a critical point equation associated with a boundary value problem, for s…