On Locally Conformally Flat Gradient Steady Ricci Solitons

Details On Locally Conformally Flat Gradient Steady Ricci Solitons On Locally Conformally Flat Gradient Steady Ricci Solitons

2009-09-15

arxiv.org/abs/0909.2833v4

Trans. Amer. Math. Soc., vol. 364 (2012), no. 5, 2377-2391

Mathematics

Differential Geometry

16 pages; final version, to appear in Trans. Amer. math. Soc

Scientific paper

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.

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