Noncompact quasi-Einstein manifolds conformal to a Euclidean space

2019/04/25 by Ribeiro, Ernani, Tenenblat, Keti · 2 citations
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1904.11283

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.

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• Remarks on potential functions of noncompact quasi-Einstein manifolds
• Rigidity of five-dimensional quasi-Einstein manifolds with constant scalar curvature

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