LP-KENMOTSU MANIFOLD ADMITTING SCHOUTEN-VAN KAMPEN CONNECTION

Abstract

In this paper we study Schouten-van Kampen connection on a Lorentzian para-Kenmotsu manifolds M. We obtain curvature tensor Ř, Ricci tensor Ŝ and scalar curvature ř, with respect to Schouten-van Kampen connection and study their properties. Further, we take some curvature conditions like Ř·Ŝ = 0, Ŝ·Ř = 0 etc., on M and prove Ř·Ć = Ř·Ř. We also consider the cases when M is ξ-concircularly flat, pseudo concircularly flat, φ-concircularly semisymmetric and obtain some interesting results.