CR Maximal Dimensional Submanifolds of Kenmotsu Space Forms

Abstract

For n > 5, we investigate (n + 1)-dimensional contact CR-submanifolds M of (n − 1) contact CR-dimension in a complete simply connected Kenmotsu space form of constant ϕ-holomorphic sectional curvature c 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 acting on the tangent space of M, respectively.