A characterization of ruled hypersurfaces and homogeneous real hypersurfaces of type (A₀), (A₁), and (B) in non-flat complex space forms

Key Points

• The objective is to characterize ruled hypersurfaces and specific types of homogeneous real hypersurfaces in non-flat complex space forms.
• Utilized second covariant derivatives
• Analyzed shape operators
• Focused on types (A₀), (A₁), and (B)
• Provided a comprehensive characterization of the specified hypersurfaces
• Demonstrated geometric properties through mathematical formulations
• Highlighted implications for the geometry of non-flat complex space forms