CERTAIN CLASS OF CONTACT CR-SUBMANIFOLDS OF A SASAKIAN SPACE FORM

Abstract

In this paper we investigate (n+1)(<TEX>$n{\geq}3$</TEX>)-dimensional contact CR-submanifolds M of (n-1) contact CR-dimension in a complete simply connected Sasakian space form of constant <TEX>${\phi}$</TEX>-holomorphic sectional curvature <TEX>$c{\neq}-3$</TEX> which satisfy the condition h(FX, Y)+h(X, FY) = 0 for any vector fields X, Y tangent to M, where h and F denote the second fundamental form and a skew-symmetric endomorphism (defined by (2.3)) acting on tangent space of M, respectively.