On a type of semi-symmetric non metric connection in Lorentzian para-Sasakian manifold
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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.
Abstract
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.
참고문헌 (16)
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