On sectional curvature of a Riemannian manifold with semi - symmetric metric connection
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KünyeZENGİN, F.Ö., UYASL, S.A., DEMİRBAĞ, S.A. (2011). On sectional curvature of a Riemannian manifold with semi - symmetric metric connection. Annales Polonici Mathematici, 101 (2), pp. 131-138. http://dx.doi.org/10.4064/ap101-2-3.
We prove that if the sectional curvature of an n-dimensional pseudosymmetric 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.