Noncompact quasi‐Einstein manifolds conformal to a Euclidean space

Ernani Ribeiro and Keti Tenenblat

Mathematische Nachrichten, 2021, vol. 294, issue 1, 132-144

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 λ=0 and m≥1 or m=2−n.

Date: 2021
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