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Weakly Einstein and weakly $η$-Einstein structures on almost contact metric three-manifolds
We study weakly Einstein and weakly $η$-Einstein structures on almost contact metric three-manifolds. We first obtain a pointwise structural description of the Ricci operator $Q$ on a weakly $η$-Einstein almost contact metric three-manifold. More precisely, at each point, either $Q$ has the $η$-Eins
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