We determine pseudosymmetry type curvature conditions of some 2-quasi-Einstein manifolds (M,g), dim M > 3, with the Riemann-Christoffel curvature tensor R expresed by a linear combination of Kulkarni-Nomizu products formed by the metric tensor g, the Ricci tensor S and its square S^2.
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Deszcz et al. (2024) studied this question.
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