On sectional curvature of a Riemannian manifold with semi-symmetric metric connection
Volume 101 / 2011
Annales Polonici Mathematici 101 (2011), 131-138
MSC: 53B15, 53B20.
DOI: 10.4064/ap101-2-3
Abstract
We prove that if the sectional curvature of an $n$-dimensional pseudo-symmetric manifold with semi-symmetric metric connection is independent of the orientation chosen then the generator of such a manifold is gradient and also such a manifold is subprojective in the sense of Kagan.