Geometric Properties of Geodesic Spheres in a Complex Projective Space

Key Points

• The central aim is to investigate the geometric properties of geodesic spheres in complex projective space.
• Survey of existing literature on geodesic spheres and complex projective space.
• Analysis of real hypersurfaces isometrically immersed into the projective space.
• Examination of Berger spheres at larger radii.
• Geodesic spheres are identified as fundamental examples within real hypersurfaces.
• Larger radii geodesic spheres correspond with well-known Berger spheres.

Abstract