ZAMKOVOY CONNECTION ON LORENTZIAN PARA-KENMOTSU MANIFOLDS

摘要

In this paper we introduce a non-metric linear connection called Zamkovoy connection on Lorentzian para-Kenmotsu manifold and obtain η-Ricci soliton with respect to this connection.Moreover, we study concircularly flat, ?-concircularly flat Lorentzian para-Kenmotsu manifolds with respect to Zamkovoy connection.Besides these, we discuss ξ-pseudo projectively flat and φ-pseudo projectively flat Lorentzian para-Kenmotsu manifolds with respect to Zamkovoy connection.