Title Statistical Killing vector fields on the Hopf hypersurfaces in the complex space forms Type of Research Article Keywords Statistical manifold, CR-hypersurface, Hopf hypersurface, statistical Killing vector field. Abstract Statistical Killing vector field is introduced and Hopf hypersurfaces of complex space forms with the condition of being structural statistical Killing vector field are studied. It is shown that these hypersurfaces have at most three distinct constant principal curvatures. Researchers Esmaiel Abedi (First Researcher)، Mohammad Ilmakchi (Second Researcher)، (Third Researcher)، NAJMA Mosadegh (Fourth Researcher)