3 papers
math.DG2025
A nongradient Ricci almost soliton
Antonio Airton Freitas Filho
In this note, we present a construction method and an explicit example of nongradient (expanding or indefinite) Ricci almost soliton in a warped product. Moreover, we show a rigidi…
math.DG2021
Conformal Vector Fields and the De-Rham Laplacian on a Riemannian Manifold with Boundary
Antônio Freitas, Israel Evangelista, Emanuel Viana
Let be an -dimensional compact connected Riemannian manifold with boundary. In this article, we study the effects of the presence of a nontrivial conformal vector fiel…
math.DG2021
On generalized quasi-Einstein manifolds
Antonio Airton Freitas Filho, Keti Tenenblat
A rigidity result for a class of compact generalized quasi-Einstein manifolds with constant scalar curvature is obtained. Moreover, under some geometric assumptions, the rigidity f…