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math.DG2025
Remarks on potential functions of noncompact quasi-Einstein manifolds
Jaciane Gonçalves
In this article, we study the set of potential functions on noncompact quasi-Einstein manifolds. We show that the space of all positive potential functions on a three-dimensional n…
math.DG2025
Geometric inequalities for quasi-Einstein manifolds
Rafael Diógenes, Jaciane Gonçalves, Ernani Ribeiro
In this article, we investigate certain geometric inequalities on quasi-Einstein manifolds. We use the generalized Reilly's formulas by Qiu-Xia and Li-Xia to establish new boundary…