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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-2-3,
author = {F\"usun \"Ozen Zengin and S. Aynur Uysal and Sezgin Altay Demirbag},
title = {On sectional curvature of a Riemannian manifold with semi-symmetric metric connection},
journal = {Annales Polonici Mathematici},
volume = {101},
year = {2011},
pages = {131-138},
zbl = {1215.53018},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-2-3}
}
Füsun Özen Zengin; S. Aynur Uysal; Sezgin Altay Demirbag. On sectional curvature of a Riemannian manifold with semi-symmetric metric connection. Annales Polonici Mathematici, Tome 101 (2011) pp. 131-138. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap101-2-3/