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On the Existence of Certain Metrics with Non Parallel Ricci Tensor

A. Raouf Chouikha
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Abstract

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. Raouf Chouikha. 2001-10-12. On the Existence of Certain Metrics with Non Parallel Ricci Tensor. https://arxiv.org/abs/math/0106263

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