A. Raouf Chouikha
Abstract
A. Derdzinki [6] 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 which naturally depends on the geometry of the manifolds.
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A. Derdzinki [6] 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 which naturally depends on the geometry of the manifolds.
Key concepts: Ricci curvature, Riemann curvature tensor, Curvature of Riemannian manifolds, Ricci decomposition, Mathematics, Ricci flow, Curvature, Metric tensor