2 citations · 2 across the 7 of their papers we have counts for
7 papers
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…
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…
Bach-flat critical metrics of the volume functional on 4-dimensional manifolds with boundary
A. Barros, R. Diógenes, E. Ribeiro
The purpose of this article is to investigate Bach-flat critical metrics of the volume functional on a compact manifold with boundary Here, we prove that a Bach-f…
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…
Characterizations and integral formulae for generalized quasi-Einstein metrics
Abdênago Barros, Ernani Ribeiro
The aim of this paper is to present some structural equations for generalized quasi-Einstein metrics which was defined recently by Catino in [12]. In addition, supposing that the R…
Rotational Linear Weingarten Surfaces into the Euclidean Sphere
Abdênago Barros, Juscelino Silva, Paulo Sousa
The aim of this paper is to present a complete description of all rotational linear Weingarten surface into the Euclidean sphere S3. These surfaces are characterized by a linear re…