Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 33, No. 1, pp. 67-83 (2017)

Semi-symmetry type LP-Sasakian manifolds

Kanak Kanti Baishya and Partha Roy Chowdhury

Kurseong College and Shaktigarh Bidyapith (H.S.)

Abstract: Recently the present authors have introduced the notion of generalized quasi-conformal curvature tensor $W$, which bridges conformal curvature tensor, concircular curvature tensor, projective curvature tensor and conharmonic curvature tensor. The present paper attempts to investigate the curvature conditions (like flatness, semi-symmetry type and Ricci semi-symmetry type) of LP-Sasakian manifold. Further, the paper seeks to table the nature of the Ricci tensor for respective semi-symmetry type curvature conditions.

Keywords: LP-Sasakian manifolds, Generalized quasi-conformal curvature tensor, Semi-symmetry type manifolds, Ricci semi-symmetry type manifolds

Classification (MSC2000): 53C15; 53C25

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