مشخصات پژوهش

The homogeneous real hypersurfaces in CPn+1 were classied by Ryoichi Takagi [3] in 1973. For a homogeneous real hypersurfaces in CPn we have g 2 f2; 3; 5g, where g is number of distinct principal curvatures. Zhen Qi Li [2] prove that g 2 f2; 3; 5g for all isoparametric real hypersurfaces in CPn with constant principal curvature. Also, Kimura [1] completed this results. In this paper, we study isoparametric Hopf hypersurfaces in complex projective space CPn such that structural vectors eld  is a principle vector eld and with weakly constant holomorphic sectional curvature.