On sectional curvature of a Riemannian manifold with semi-symmetric metric connection

Füsun Özen Zengin, S. Aynur Uysal, and Sezgin Altay Demirbag. "On sectional curvature of a Riemannian manifold with semi-symmetric metric connection." Annales Polonici Mathematici 101.2 (2011): 131-138. <http://eudml.org/doc/280205>.

@article{FüsunÖzenZengin2011,
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.},
author = {Füsun Özen Zengin, S. Aynur Uysal, Sezgin Altay Demirbag},
journal = {Annales Polonici Mathematici},
keywords = {semi-symmetric metric connection; sectional curvature; conformally flat manifold; pseudo-symmetric manifold; concircular vector field},
language = {eng},
number = {2},
pages = {131-138},
title = {On sectional curvature of a Riemannian manifold with semi-symmetric metric connection},
url = {http://eudml.org/doc/280205},
volume = {101},
year = {2011},
}

TY - JOUR
AU - Füsun Özen Zengin
AU - S. Aynur Uysal
AU - Sezgin Altay Demirbag
TI - On sectional curvature of a Riemannian manifold with semi-symmetric metric connection
JO - Annales Polonici Mathematici
PY - 2011
VL - 101
IS - 2
SP - 131
EP - 138
AB - 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.
LA - eng
KW - semi-symmetric metric connection; sectional curvature; conformally flat manifold; pseudo-symmetric manifold; concircular vector field
UR - http://eudml.org/doc/280205
ER -