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Remarks on potential functions of noncompact quasi-Einstein manifolds

Gonçalves, Jaciane
arXiv (All) · Papers
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differential-geometry
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 noncompact quasi-Einstein manifold has dimension at most two, and that equality holds if and only if the manifold is isom
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