PARALLEL*-RICCI TENSOR OF REAL HYPERSURFACES IN $\mathbb{C}P^{2}$ AND $\mathbb{C}H^{2}$

Abstract

In this paper the idea of studying real hypersurfaces in non-flat complex space forms, whose *-Ricci tensor satisfies geometric conditions is presented. More precisely, three dimensional real hypersurfaces in non-flat complex space forms with parallel *-Ricci tensor are studied. At the end of the paper ideas for further research on $^{*}$-Ricci tensor are given.