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Riemannian manifolds with special curvature tensor

open access: yes, 1994
The authors prove the following theorem: let \((M,g)\) be a Ricci-parallel Riemannian manifold whose curvature tensor at each point is of the form \(R = aR _{S^n} + bK_0\), where \(a\), \(b\) are real numbers (fixed on the whole manifold) and \(R_{S^n}\), \(K_0\) denote the curvature tensors of the unit sphere and of some symmetric space, respectively.
PODESTA', FABIO, TRICERRI, FRANCO
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