On Locally Conformally Flat Gradient Steady Ricci Solitons
arXiv:0909.2833
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.
16 pages; final version, to appear in Trans. Amer. math. Soc