3 citations · 7 across the 14 of their papers we have counts for
17 papers
Rigidity of four-dimensional Kähler-Ricci solitons
Xiaodong Cao, Ernani Ribeiro, Hung Tran
In this article, we investigate four-dimensional gradient shrinking Ricci solitons close to a Kähler model. The first theorem could be considered as a rigidity result for the Kähle…
On Euler characteristic and Hitchin-Thorpe inequality for four-dimensional compact Ricci solitons
Xu Cheng, Ernani Ribeiro, Detang Zhou
In this article, we investigate the geometry of -dimensional compact gradient Ricci solitons. We prove that, under an upper bound condition on the range of the potential functio…
Remarks on compact quasi-Einstein manifolds with boundary
Rafael Diógenes, Tiago Gadelha, Ernani Ribeiro
In this paper, we prove that a compact quasi-Einstein manifold of dimension with boundary nonnegative sectional curvature and zero radial We…
Geometry of compact quasi-Einstein manifolds with boundary
Rafael Diógenes, Tiago Gadelha, Ernani Ribeiro
In this article, we study the geometry of compact quasi-Einstein manifolds with boundary. We establish sharp boundary estimates for compact quasi-Einstein manifolds with boundary t…
Volume growth estimates for Ricci solitons and quasi-Einstein manifolds
Xu Cheng, Ernani Ribeiro, Detang Zhou
In this article, we provide some volume growth estimates for complete noncompact gradient Ricci solitons and quasi-Einstein manifolds similar to the classical results by Bishop, Ca…
Four-manifolds with positive curvature
R. Diógenes, E. Ribeiro, E. Rufino
In this note we prove that a four-dimensional compact oriented half-confor\-mally flat Riemannian manifold is topologically or pr…