Compact three-dimensional Einstein-type manifolds with cyclic parallel Ricci tensor and constant scalar curvature are rigid, classified via a new integral formula for D_ijk.
and Hwang, S.: On the geometry of Einstein-type manifolds with some structural conditions
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On Einstein-type manifold with cyclic parallel Ricci tensor
Compact three-dimensional Einstein-type manifolds with cyclic parallel Ricci tensor and constant scalar curvature are rigid, classified via a new integral formula for D_ijk.