Rigity results on \(\rho\)-Einstein solitons with zero scalar curvature

In this paper we show that a \(\rho\)-Einstein solitons conformal to a pseudo-Euclidean space, invariant under the action of the pseudo-orthogonal group with zero scalar curvature is stady and consequently flat. How application of the results obtained we present an explicit example for a the questio...

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Veröffentlicht in:arXiv.org 2021-02
Hauptverfasser: Pina, Romildo, Menezes, Ilton, Silva, Lucyjane
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description In this paper we show that a \(\rho\)-Einstein solitons conformal to a pseudo-Euclidean space, invariant under the action of the pseudo-orthogonal group with zero scalar curvature is stady and consequently flat. How application of the results obtained we present an explicit example for a the question proposed by Kazdan in [17].
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subjects Curvature
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Euclidean space
Solitary waves
title Rigity results on \(\rho\)-Einstein solitons with zero scalar curvature
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