This analysis classifies biharmonic hypersurfaces in quaternion projective space, indicating distinctions among various types.
We study biharmonic homogeneous real hypersurfaces in complex projective space and quaternion projective space. We provide a classification of biharmonic homogeneous real hypersurfaces in quaternion projective space. We also classify pseudo-harmonic, subelliptic biharmonic, and Levi-harmonic homogeneous Hopf hypersurfaces in complex space forms.
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Inoguchı et al. (2025) studied this question.
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