On sectional curvatures of a Weyl manifold
Abstract
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.
Source
Proceedings of the Japan Academy Series A: Mathematical SciencesIssue
8Volume
82Pages
123-125Collections
Keywords
Einstein manifoldEinstein-Weyl manifold
Prolonged covariant constant
Sectional curvature
Weyl manifold