Biharmonic hypersurfaces in Sasakian space forms

We consider the Boothby-Wang fibration π:N→N¯ of a strictly regular Sasakian space form N and find the characterization of biharmonic Hopf cylinders over submanifolds of N¯. Then, we determine all proper-biharmonic Hopf cylinders over homogeneous real hypersurfaces in complex projective spaces.