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- W2157220316 abstract "In this paper, we classify n-dimensional (n>3) complete Bach-flat gradient shrinking Ricci solitons. More precisely, we prove that any 4-dimensional Bach-flat gradient shrinking Ricci soliton is either Einstein, or locally conformally flat hence a finite quotient of the Gaussian shrinking soliton $R^4$ or the round cylinder $S^3times R$. More generally, for n>4, a Bach-flat gradient shrinking Ricci soliton is either Einstein, or a finite quotient of the Gaussian shrinking soliton $R^n$ or the product $N^{n-1}times R$, where $N^{n-1}$ is Einstein." @default.
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- W2157220316 date "2013-04-15" @default.
- W2157220316 modified "2023-10-13" @default.
- W2157220316 title "On Bach-flat gradient shrinking Ricci solitons" @default.
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- W2157220316 doi "https://doi.org/10.1215/00127094-2147649" @default.
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