Bach-flat noncompact steady quasi-Einstein manifolds
Differential Geometry
2016-12-15 v2
Abstract
The goal of this article is to study the geometry of Bach-flat noncompact steady quasi-Einstein manifolds. We show that a Bach-flat noncompact steady quasi-Einstein manifold with positive Ricci curvature such that its potential function has at least one critical point must be a warped product with Einstein fiber. In addition, the fiber has constant curvature if
Cite
@article{arxiv.1605.05592,
title = {Bach-flat noncompact steady quasi-Einstein manifolds},
author = {M. Ranieri and E. Ribeiro},
journal= {arXiv preprint arXiv:1605.05592},
year = {2016}
}
Comments
To appear in Archiv der Mathematik