Abstract
In this article, we classify -dimensional () complete Bach-flat gradient shrinking Ricci solitons. More precisely, we prove that any -dimensional Bach-flat gradient shrinking Ricci soliton is either Einstein, or locally conformally flat and hence a finite quotient of the Gaussian shrinking soliton or the round cylinder . More generally, for , a Bach-flat gradient shrinking Ricci soliton is either Einstein, or a finite quotient of the Gaussian shrinking soliton or the product , where is Einstein.
Citation
Huai-Dong Cao. Qiang Chen. "On Bach-flat gradient shrinking Ricci solitons." Duke Math. J. 162 (6) 1149 - 1169, 15 April 2013. https://doi.org/10.1215/00127094-2147649
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