A note on four dimensional (anti-)self-dual quasi-Einstein manifolds
Differential Geometry
2014-10-10 v4
Abstract
In this short note we prove that any complete four dimensional anti-self-dual (or self-dual) quasi-Einstein manifolds is either Einstein or locally conformally flat. This generalizes a recent result of X. Chen and Y. Wang.
Cite
@article{arxiv.1102.3893,
title = {A note on four dimensional (anti-)self-dual quasi-Einstein manifolds},
author = {Giovanni Catino},
journal= {arXiv preprint arXiv:1102.3893},
year = {2014}
}