Real hypersurfaces with constant ϕ-sectional curvature in complex projective space

We will give a geometric description of real hypersurfaces with constant ϕ-sectional curvature in complex projective space. Besides geodesic hypersurfaces, such real hypersurfaces are obtained as the image of either a curve or a surface in complex projective space under the polar map. As a consequence, we obtain a classification of real hypersurface M3 in complex projective plane such that the structure vector ξ is an eigenvector of the Ricci tensor.