Noncompact quasi-Einstein manifolds conformal to a Euclidean space

Ernani Ribeiro Jr.; Keti Tenenblat

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arXiv · 1904.11283

Noncompact quasi-Einstein manifolds conformal to a Euclidean space

Ernani Ribeiro Jr.·Keti Tenenblat

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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 $m\geq 1$ or $m=2-n.$

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BibTeX RIS

Ernani Ribeiro Jr., Keti Tenenblat. 2019-04-25. Noncompact quasi-Einstein manifolds conformal to a Euclidean space. https://arxiv.org/abs/1904.11283

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