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On geomerty of half-lightlike submanifolds with a semi-symmetric non-metric connection
E. Yasar 장전수학회 2013 Advanced Studies in Contemporary Mathematics Vol.23 No.4
On geomerty of half-lightlike submanifolds with a semi-symmetric non-metric connection
On a type of semi-symmetric non metric connection in Lorentzian para-Sasakian manifold
E. Yasar 장전수학회 2011 Proceedings of the Jangjeon mathematical society Vol.14 No.2
We FInd the expression for the curvature tensor of Lorentzian para-Sasakian (briefly LP-Sasakian) manifold that admits a type of semi-symmetric non metric con-nection. We study the properties of curvature tensor, conformal curvature tensor and projective curvature tensor. We show that the projective curvature tensor of Lorentzian para-Sasakian manifold is skew symmetric with respect to semi-symmetric non-metric connection. Last we obtain conditions under which the conformal curvature and the quasi conformal curvature tensors are conformally and quasi conformally flat, respec-tively.