Abstract
We prove that a 4-dimensional generalized m-quasi-Einstein manifold with harmonic anti-self dual Weyl tensor is locally a warped product with 3-dimensional Einstein fibers provided an additional condition holds.
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Neto, B.L. Generalized quasi-Einstein manifolds with harmonic anti-self dual Weyl tensor. Arch. Math. 106, 489–499 (2016). https://doi.org/10.1007/s00013-016-0896-0
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DOI: https://doi.org/10.1007/s00013-016-0896-0