A Semi-Symmetric Metric γ-Connection in an LP-Sasakian Manifold

B Prasad; Subhash Chandra Singh

doi:10.56424/jts.v6i01.10448

B Prasad Department of Mathematics S. M. M. T.(P.G.)College, Ballia-277001, U.P., India
Subhash Chandra Singh Department of Mathematics S. M. M. T.(P.G.)College, Ballia-277001, U.P., India

DOI: https://doi.org/10.56424/jts.v6i01.10448

Keywords: LP-Sasakian manifold, Einstein manifold, Ricci tensor, psuedo fW2 curvature tensor, psuedo projective curvature tensor e P and Group manifold

Abstract

Yano (1970) investiated a semi-symmetric metric connections in a Riemannian manifold and since then many authors studied this connection. Further Mishra and Pandey (1978) defined a semi-symmetric metric ξ-connection in almost contact manifold and obtained various geometrical properties. Following Mishra and Pandey (1978) we define semi-symmetric metric ξ-connection in Lorentzian Para-Sasakian manifold and study some propeties of curvature tensors.