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{"references": ["C.S. Bagewadi, D.G. Prakasha and Venkatesha, On pseudo projectively\nflat LP-Sasakian manifold with a coefficient \u03b1, Ann. univ. Mariae C.S.\nLubin-Polonia LXI, 29(2007), 1-8.", "U.C. De, A.A. Shaikh, and A. Sengupta, On LP-Sasakian manifold with\na coefficient \u03b1,Kyungpook Math.J.42 (2002) 177-186.", "U.C. De, J.B. Jun, and A.A Shaikh, conformally flat LP-Sasakian\nmanifold with a coefficient \u03b1,Nihonkai Math.J. 13(2002), 121-131.", "K. Matsumoto, On Lorentzian para contact manifolds,Bull.of Yamagata\nUniv. Nat. Sci.12(1989), 151-156.", "I. Mihai, and R. Rosoca, On Lorentzian P-Sasakian manifolds, Classical\nAnalysis , world sci.pub.singapore (1992), 155-169.", "A.A. Shaikh, S.K. Hui, and C.S. Bagewadi, On quasi conformally flat\nalmost pseudo ricci symmetric manifolds, Tamsui oxford J. of math.sci.\n26(2) (2010),203-219.", "K. Yano, On the torse forming direction in Riemannian spaces, proc.Imp.\nAcad.Tokyo 20(1994) 340-345.", "K. Yano, and S. Sawaki, Riemannian manifolds admitting a conformal\ntransformation group,J.Diff.Geo. (1968), 161-184."]}
The aim of the present paper is to study properties of Quasi conformally flat LP-Sasakian manifolds with a coefficient α. In this paper, we prove that a Quasi conformally flat LP-Sasakian manifold M (n > 3) with a constant coefficient α is an η−Einstein and in a quasi conformally flat LP-Sasakian manifold M (n > 3) with a constant coefficient α if the scalar curvature tensor is constant then M is of constant curvature.
torse forming vector field, concircular vector field, LP-Sasakian manifolds, coefficient α, quasi conformal curvature tensor, η-Einstein manifold.
torse forming vector field, concircular vector field, LP-Sasakian manifolds, coefficient α, quasi conformal curvature tensor, η-Einstein manifold.
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