English

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

Differential Geometry 2021-02-11 v1

Abstract

In this paper we show that a ρ\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].

Keywords

Cite

@article{arxiv.2102.05202,
  title  = {Rigity results on $\rho$-Einstein solitons with zero scalar curvature},
  author = {Romildo Pina and Ilton Menezes and Lucyjane Silva},
  journal= {arXiv preprint arXiv:2102.05202},
  year   = {2021}
}

Comments

16 pages. arXiv admin note: text overlap with arXiv:2010.06729