On four-dimensional anti-self-dual gradient Ricci solitons
Differential Geometry
2011-02-08 v2
Abstract
In this note we prove that any four-dimensional half conformally flat gradient steady Ricci soliton must be either Bryant's soliton or Ricci flat. We also classify four-dimensional half conformally flat gradient shrinking Ricci solitons with bounded curvature.
Keywords
Cite
@article{arxiv.1102.0358,
title = {On four-dimensional anti-self-dual gradient Ricci solitons},
author = {Xiuxiong Chen and Yuanqi Wang},
journal= {arXiv preprint arXiv:1102.0358},
year = {2011}
}