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In this paper we prove that any complete conformal gradient soliton with nonnegative Ricci tensor is either isometric to a direct product $\mathbb{R}\times N^{n-1}$, or globally conformally equivalent to the Euclidean space $\mathbb{R}^{n}$ or to the round sphere $\mathbb{S}^{n}$.
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H.-D. Cao, X. Sun, and Y. Zhang, On the structure of gradient Yamabe solitons , ArXiv Preprint Server – http://arxiv.org, 2011
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P. Daskalopoulos and N. Sesum, The classification of locally conformally flat Yamabe solitons , ArXiv Preprint Server – http://arxiv.or, 2011
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Closest in time.
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