Biharmonic Hypersurfaces in Projective Spaces Revisited

Key Points

• A detailed classification of biharmonic homogeneous real hypersurfaces is provided in quaternion projective space.
• The study explores connections between biharmonic hypersurfaces and pseudo-harmonic, subelliptic, and Levi-harmonic forms.
• The investigation focuses on homogeneous Hopf hypersurfaces within complex space forms, revealing unique characteristics.
• Findings may enhance the understanding of geometric structures within projective spaces and their applications.