A. Raouf Chouikha
Abstract
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A. Derdzinki [D] gave examples of Riemannian metrics with harmonic curvature and non parallel Ricci tensor on some compact manifolds $(M,g]$ . We examine their existence as well as their number wich naturally depends on the geometry of the manifolds.
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A. Derdzinki [D] gave examples of Riemannian metrics with harmonic curvature and non parallel Ricci tensor on some compact manifolds $(M,g]$ . We examine their existence as well as their number wich naturally depends on the geometry of the manifolds.
Key concepts: Ricci curvature, Curvature of Riemannian manifolds, Riemann curvature tensor, Ricci decomposition, Ricci-flat manifold, Mathematics, Ricci flow, Pure mathematics