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arXiv · 2102.05202

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

Romildo Pina·Ilton Menezes·Lucyjane Silva
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Abstract

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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Romildo Pina, Ilton Menezes, Lucyjane Silva. 2021-02-10. Rigity results on $\rho$-Einstein solitons with zero scalar curvature. https://arxiv.org/abs/2102.05202

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