English

On the characterization of Riemannian warped product Einstein metrics

Differential Geometry 2024-05-15 v1

Abstract

We present a series of results, including local characterizations of (λ,m+n)(\lambda,m+n)-Einstein metrics in the context of warped product Einstein spaces. Using these local properties, we restate already known global characterizations of (λ,m+n)(\lambda,m+n)-Einstein manifolds from He, Petersen and Wylie.

Keywords

Cite

@article{arxiv.2405.08544,
  title  = {On the characterization of Riemannian warped product Einstein metrics},
  author = {Sayed Mohammad Reza Hashemi},
  journal= {arXiv preprint arXiv:2405.08544},
  year   = {2024}
}