A note on four dimensional (anti-)self-dual quasi-Einstein manifolds
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🧮 math.DG
keywords
dimensionalfourmanifoldsnotequasi-einsteinself-dualanti-anti-self-dual
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In this short note we prove that any complete four dimensional anti-self-dual (or self-dual) quasi-Einstein manifolds is either Einstein or locally conformally flat. This generalizes a recent result of X. Chen and Y. Wang.
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