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 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | 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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ISSN: | 0025-584X 1522-2616 |
DOI: | 10.1002/mana.201900189 |