  In this paper the result of real hypersurfaces in non-flat complex space
forms, whose structure vector field $\xi$ belongs to the $\kappa$-nullity
distribution is extended in case of three dimensional real hypersurfaces in
non-flat complex space forms. Furthermore, generalization of notion
($\kappa$,$\mu$)-nullity distribution defined on real hypersurfaces and results
of real hypersurfaces, whose structure vector field $\xi$ belongs to the
previous distribution are provided. Finally, the notion of
($\kappa$,$\mu$,$\nu$)-nullity distribution is introduced in case of real
hypersurfaces in non-flat complex space forms and real hypersurfaces, whose
structure vector field $\xi$ belongs to the previous distribution are studied.
