Real hypersurfaces with cyclic-parallel Ricci tensor of a complex projective space (Q1110825)

The main purpose of this paper is to prove the following theorem. Let M be a real hypersurface of a complex projective space \({\mathbb{C}}P^ n\). If the Ricci tensor of M is cyclic-parallel and the structure vector is principal, then M is locally congruent to a homogeneous hypersurface of \({\mathbb{C}}P^ n\).