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math.DG2025
Critical metrics of the volume functional on complete manifolds
Caio Coimbra, Rafael Diógenes, Ernani Ribeiro
In this article, we investigate critical metrics of the volume functional on complete manifolds without boundary. We prove that any critical metric of the volume functional on a co…
math.DG2025
On quasi-Einstein manifolds with constant scalar curvature
Johnatan Costa, Ernani Ribeiro, Márcio Santos
In this article, we study quasi-Einstein manifolds with constant scalar curvature. We provide a classification of compact and noncompact (possibly with boundary) -flat quasi-Ein…