2 citations · 4 across the 6 of their papers we have counts for
6 papers
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.
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…
Geometric inequalities for critical metrics of the volume functional
H. Baltazar, R. Batista, E. Ribeiro
In this article, we investigate the geometry of critical metrics of the volume functional on an -dimensional compact manifold with (possibly disconnected) boundary. We establish…
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…
Bounds on volume growth of geodesic balls for Einstein warped products
A. Barros, R. Batista, E. Ribeiro
The purpose of this note is to provide some volume estimates for Einstein warped products similar to a classical result due to Calabi and Yau for complete Riemannian manifolds with…
Compact almost Ricci solitons with constant scalar curvature are gradient
Abdênago Barros, Rondinelle Batista, Ernani Ribeiro
The aim of this note is to prove that any compact non-trivial almost Ricci soliton with constant scalar curvature is isometric to a Euclidean sphere $\B…