QUASI-PARA-SASAKIAN MANIFOLD ADMITTING ZAMKOVOY CONNECTION

Abstract

The purpose of the present study is to deduce some curvature properties of quasi-para-Sasakian manifold equipped with respect to Zamkovoy connection. In the present article we have studied Locally $\phi$-symmetric quasi-para-Sasakian manifold, $\phi$-recurrent quasi-para-Sasakian manifold, Locally projective $\phi$-symmetric quasi-para-Sasakian manifold, $\phi$-projectively flat quasi-para-Sasakian manifold, pseudo-quasi-conformally flat quasi-para-Sasakian manifold,  $\phi$-pseudo-quasi-conformally flat quasi-para-Sasakian manifold with respect to Zamkovoy connection. Also we have shown that the quasi-para-Sasakian manifold with respect to Zamkovoy connection $\bar{\nabla}$ satisfying $\bar{\tilde{V}}(\xi, U).\bar{S}=0,$ where $\bar{\tilde{V}}$ and $\bar{S}$ are the pseudo-quasi-conformal curvature tensor and Ricci tensor with respect to Zamkovoy connection respectively.