Sectional curvatures of geodesic spheres in a complex hyperbolic space
Sectional curvatures of geodesic spheres in a complex hyperbolic space
We characterize geodesic spheres with sufficiently small radii in a complex hyperbolic space of constant holomorphic sectional curvature c(<0) by using their geometric three properties. These properties are based on their contact forms, geodesics and shape operators. These geodesic spheres are the only examples of hypersurfaces of type (A) which …