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Abstract
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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.
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