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math.DG2014
Rigidity of four-dimensional compact manifolds with harmonic Weyl tensor
Ernani Ribeiro
The goal of this paper is to investigate the rigidity of 4-dimensional manifolds involving some pinching curvature conditions. To this end, we make use of the approach of biorthogo…
math.DG2014
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…
math.DG2014
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…