ON LOCALLY CONFORMALLY FLAT GRADIENT SHRINKING RICCI SOLITONS
نویسندگان
چکیده
منابع مشابه
On Locally Conformally Flat Gradient Steady Ricci Solitons
In this paper, we prove that a complete noncompact non-flat conformally flat gradient steady Ricci soliton is, up to scaling, the Bryant soliton. 1. The result A complete Riemannian metric gij on a smooth manifold M n is called a gradient steady Ricci soliton if there exists a smooth function F on M such that the Ricci tensor Rij of the metric gij is given by the Hessian of F : Rij = ∇i∇jF. (1....
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ژورنال
عنوان ژورنال: Communications in Contemporary Mathematics
سال: 2011
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s0219199711004191