A note on four-dimensional (anti-)self-dual quasi-Einstein manifolds |
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Authors: | Giovanni Catino |
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Affiliation: | Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy |
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Abstract: | In this short note we prove that any complete four-dimensional anti-self-dual (or self-dual) quasi-Einstein manifold is either Einstein or locally conformally flat. This generalizes a recent result of X. Chen and Y. Wang. |
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