Real hypersurfaces of complex two-plane Grassmannians with certain parallel conditions

Abstract

In Chen (Bull Korean Math Soc 54(3):975–992, 2017), we introduce the notion of *-Ricci tensor in a real hypersurface of complex two-plane Grassmannians $$G_2({\mathbb {C}}^{m+2}),m\ge 3$$ , and in the present paper we study the characterizations of the Hopf hypersurfaces in $$G_2({\mathbb {C}}^{m+2})$$ with parallel, Reeb parallel and Lie Reeb parallel *-Ricci tensor, respectively.