On Hopf hypersurfaces of the complex hyperbolic quadric with constant principal curvatures

Key Points

• Hopf hypersurfaces with at most two distinct constant principal curvatures are classified, revealing new geometric insights.
• The study determines specific values for principal curvatures and their multiplicities for models with three or four distinct curvatures.
• The analysis focuses on Hopf hypersurfaces within the complex hyperbolic quadric, providing a deeper understanding of curvature relationships.
• This study emphasizes the importance of classification in the understanding of geometric structures in complex spaces.