On Locally Conformally Flat Gradient Steady Ricci Solitons
Differential Geometry
2012-01-31 v4
Abstract
In this paper, we classify n-dimensional (n>2) complete noncompact locally conformally flat gradient steady solitons. In particular, we prove that a complete noncompact non-flat conformally flat gradient steady Ricci soliton is, up to scaling, the Bryant soliton.
Keywords
Cite
@article{arxiv.0909.2833,
title = {On Locally Conformally Flat Gradient Steady Ricci Solitons},
author = {Huai-Dong Cao and Qiang Chen},
journal= {arXiv preprint arXiv:0909.2833},
year = {2012}
}
Comments
16 pages; final version, to appear in Trans. Amer. math. Soc