Some symmetric properties on (LCS)_n-manifolds

Abstract

In the present frame work the B-pseudosymmetric, we prove a B-pseudosymmetric (LCS)_n-manifold is an Einstien manifold if $L_{B}\neq(\alpha^{2}-\rho)$. And we show that if (LCS)_n-manifold is Q-pseudosymmetric, then it is an Einstein manifold.
Also a Q-pseudosymmetric (LCS)_n-manifold is Q-semisymmetric if and only if L_Q=0. Finally we show that a Q-Ricci semisymmetric (LCS)_n-manifold is an Einstien manifold if $\varPsi\neq(\alpha^{2}-\rho)(n-1)$. In addition to this we study the condition $Q(\xi,X)\cdot Q(Y,U)Z=0$ and Q-pseudosymmetric and $\phi$-Q-flat on (LCS)_n-manifolds.