Noncompact quasi‐Einstein manifolds conformal to a Euclidean space

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...

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Veröffentlicht in:	Mathematische Nachrichten 2021-01, Vol.294 (1), p.132-144
Hauptverfasser:	Ribeiro Jr, Ernani, Tenenblat, Keti
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Sprache:	eng
Schlagworte:	conformal metrics Einstein manifolds Euclidean geometry Euclidean space Manifolds (mathematics) quasi‐Einstein manifolds translation group
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description	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.
doi_str_mv	10.1002/mana.201900189
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subjects	conformal metrics Einstein manifolds Euclidean geometry Euclidean space Manifolds (mathematics) quasi‐Einstein manifolds translation group
title	Noncompact quasi‐Einstein manifolds conformal to a Euclidean space
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