Nonexistence of non-Hopf Ricci-semisymmetric real hypersurfaces in and

Abstract In this paper, we solved an open problem raised by Cecil and Ryan (2015, Geometry of Hypersurfaces , Springer Monographs in Mathematics, Springer, New York, p. 531) by proving the nonexistence of non-Hopf Ricci-semisymmetric real hypersurfaces in $\mathbb {C}P^{2}$ and $\mathbb {C}H^{2}$ .