Real hypersurfaces of non-flat complex space forms with two generalized conditions on the Jacobi structure operator

We aim to classify the real hypersurfaces M in a Kaehler complex space form M-n(c) satisfying the two conditions phi l = l phi, where l= R(. , xi)xi and phi is the almost contact metric structure of M, and (del xi l)X = omega(X)xi, where where omega(X) is a 1-form and X is a vector field on M. These two conditions imply that M is a Hopf hypersurface and omega = 0.