Noncompact quasi-Einstein manifolds conformal to a Euclidean space

Abstract

The goal of this article is to investigate nontrivial $m$-quasi-Einstein manifolds globally conformal to an $n$-dimensional Euclidean space. By considering such manifolds, whose conformal factors and potential functions are invariant under the action of an $(n-1)$-dimensional translation group, we provide a complete classification when $\lambda =0$ and $m\ge 1$ or $m=2-n.$

To appear in Mathematische Nachrichten