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- W2031589045 abstract "The aim of this note is to prove that any compact non-trivial almost Ricci soliton $$big (M^n,,g,,X,,lambda big )$$ with constant scalar curvature is isometric to a Euclidean sphere $$mathbb {S}^{n}$$ . As a consequence we obtain that every compact non-trivial almost Ricci soliton with constant scalar curvature is gradient. Moreover, the vector field $$X$$ decomposes as the sum of a Killing vector field $$Y$$ and the gradient of a suitable function." @default.
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- W2031589045 date "2013-10-15" @default.
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- W2031589045 title "Compact almost Ricci solitons with constant scalar curvature are gradient" @default.
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- W2031589045 doi "https://doi.org/10.1007/s00605-013-0581-3" @default.
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