Noncompact quasi-Einstein manifolds conformal to a Euclidean space

Ernani Ribeiro; Keti Tenenblat

Noncompact quasi-Einstein manifolds conformal to a Euclidean space

Differential Geometry 2019-12-09 v2

Authors: Ernani Ribeiro , Keti Tenenblat

Abstract

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 $\lambda=0$ and $m\geq 1$ or $m=2-n.$

Keywords

quasi-einstein manifolds conformal geometry euclidean space classification translation group

Cite

@article{arxiv.1904.11283,
  title  = {Noncompact quasi-Einstein manifolds conformal to a Euclidean space},
  author = {Ernani Ribeiro and Keti Tenenblat},
  journal= {arXiv preprint arXiv:1904.11283},
  year   = {2019}
}

Comments

To appear in Mathematische Nachrichten

Related papers

View all related →