3 papers
math.DG2022
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…
math.DG2022
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…
math.DG2021
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…