Volume estimates for real hypersurfaces of a Kaehler manifold with strictly positive holomorphic sectional and antiholomorphic Ricci curvatures

Abstract

We give some inequalities for the volume of a connected compact real hypersurface of a compact Kaehler manifold with strictly positive holomorphic sectional and antiholomorphic Ricci curvatures and prove that some of the corresponding equalities characterize the geodesic spheres in CP n ().