Geodesic
On sectional curvature of a Riemannian manifold with semi-symmetric metric connection
Füsun Özen Zengin1 ; S. Aynur Uysal2 ; Sezgin Altay Demirbag1
1 Department of Mathematics Istanbul Technical University 34469 Istanbul, Turkey
2 Department of Mathematics Dogus University Kadıköy, Istanbul, Turkey
Annales Polonici Mathematici, Tome 101 (2011) no. 2, pp. 131-138.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap101-2-3
Keywords: prove sectional curvature n dimensional pseudo symmetric manifold semi symmetric metric connection independent orientation chosen generator manifold gradient manifold subprojective sense kagan

Füsun Özen Zengin 1 ; S. Aynur Uysal 2 ; Sezgin Altay Demirbag 1

1 Department of Mathematics Istanbul Technical University 34469 Istanbul, Turkey
2 Department of Mathematics Dogus University Kadıköy, Istanbul, Turkey 
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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) no. 2, pp. 131-138. doi : 10.4064/ap101-2-3. http://geodesic.mathdoc.fr/articles/10.4064/ap101-2-3/

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