On sectional curvatures of a Weyl manifold
In [\textit{H. Pedersen} and \textit{K. P. Tod}, Adv. Math. 97, No. 1, 74--109 (1993; Zbl 0778.53041)], it is proved that if \(M\) is a compact positive-definite Einstein-Weyl manifold whose scalar curvature is everywhere strictly negative, then \(M\) is conformal to an Einstein manifold. In this paper, the author shows that if \(M\) is a Weyl manifold, of dimension \(>2\), such that at each point the sectional curvature is independent of the plane chosen, then \(M\) is locally conformal to an Einstein manifold.
scientific article; zbMATH DE number 5161653