On the Existence of Certain Metrics with Non Parallel Ricci Tensor

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61765A. 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.9 pagesDifferential GeometryMathematical Physics53C21, 53C25, 58G30On the Existence of Certain Metrics with Non Parallel Ricci Tensortext