26 citations · 44 across the 9 of their papers we have counts for
9 papers
On gradient -Einstein solitons with Bach tensor radially nonnegative
Maria Andrade, Valter Borges, Hiuri Reis
In this paper, we study -dimensional gradient -Einstein solitons whose Bach tensor is radially nonnegative. Under this assumption, we show that such -Einstein solitons are…
Topology at infinity of complete gradient Schouten solitons
Valter Borges, Hector Rosero-Garcia, João Paulo dos Santos
In this paper, we study ends of complete gradient non-trivial Schouten solitons. Without any additional assumptions, we show the shrinking ones have finitely many ends, and the exp…
Ends of shrinking gradient -Einstein solitons
Valter Borges, Hector Rosero-García, João Paulo dos Santos
We prove that all ends of a gradient shrinking -Einstein soliton are -non-parabolic, provided is nonnegative and the soliton has bounded and nonnegative scalar curvature,…
On noncompact warped product Ricci solitons
Valter Borges
The goal of this article is to investigate complete noncompact warped product gradient Ricci solitons. Nonexistence results, estimates for the warping function and for its gradient…
Hamilton-Ivey estimates for the Ricci-Bourguignon flow with
Valter Borges
In this paper, we prove Hamilton-Ivey estimates for the Ricci-Bourguignon flow on a compact manifold, with and . As a consequence, we prove that compact ancient solution…
On Einstein hypersurfaces of
Valter Borges, Adam da Silva
In this paper, we investigate Einstein hypersurfaces of the warped product , where is a space form of curvature . We prove that…
Rigidity of Bach-flat gradient Schouten solitons
Valter Borges
In this paper we show that a complete Schouten soliton whose Ricci tensor has at most two eigenvalues at each point is rigid. This allows the classification of both shrinking and e…
On complete gradient Schouten solitons
Valter Borges
In this paper, we prove an optimal inequality between the potential function of a complete Schouten soliton and the norm of its gradient. We also prove that these metrics have boun…
Ricci Almost Solitons on semi-Riemannian Warped Products
Keti Tenenblat, Valter Borges
We characterize Ricci almost solitons on semi-Riemannian warped products, considering the potential function to depend on the fiber or not. We show that the fiber is necessarily an…