On the Existence of Certain Metrics with Non Parallel Ricci Tensor

Details On the Existence of Certain Metrics with Non Parallel Ricci Tensor On the Existence of Certain Metrics with Non Parallel Ricci Tensor

2001-06-29

arxiv.org/abs/math/0106263v2

Mathematics

Differential Geometry

9 pages

Scientific paper

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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