On sectional curvatures of a Weyl manifold
In this paper it is proved that if at each point of a Weyl manifold the sectional curvature is independent of the plane chosen then the. Weyl manifold is locally conformal to an Einstein manifold and that the scalar curvature of the Weyl manifold is prolonged covariant constant.
SourceProceedings Of The Japan Academy Series A-Mathematical Sciences
prolonged covariant constant