some solitons on anti-invariant submanifold of lp-kenmotsu manifold admitting zamkovoy connection

In this paper we prove some curvature properties of anti-invariant submanifold of lorentzian para-kenmotsu manifold (briefly, lp-kenmotsu manifolds) with respect to zamkovoy connection (∇∗). next, we study einstein soliton on anti-invariant submanifold of lp-kenmotsu manifold with respect to zamkovoy connection. further, we study η-einstein soliton on this submanifold with respect to zamkovoy connection under different curvature conditions. finally, we give an example of anti-invariant submanifold of 5-dimensional lp-kenmotsu manifold admitting η-einstein soliton with respect to ∇∗ and verify a relation on it.