On the Existence of Certain Metrics with Non Parallel Ricci Tensor
Differential Geometry
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
A. Derdzinki [D] gave examples of Riemannian metrics with harmonic curvature and non parallel Ricci tensor on some compact manifolds . We examine their existence as well as their number wich naturally depends on the geometry of the manifolds.
Cite
@article{arxiv.math/0106263,
title = {On the Existence of Certain Metrics with Non Parallel Ricci Tensor},
author = {A. Raouf Chouikha},
journal= {arXiv preprint arXiv:math/0106263},
year = {2007}
}
Comments
9 pages