Generalized Pseudo-Ricci-Yamabe solitons on real hypersurfaces in the complex hyperbolic two-plane Grassmannians

초록

In this paper we want to give a complete classification of Hopf real hypersurfaces in the complex hyperbolic two-plane Grassmannian G(2)*(Cm+2) admitting a generalized pseudo-Ricci-Yamabe soliton if we use the notion of pseudo-anti commuting Ricci tensor. In addition to this one, we have proved that a real hypersurface with isometric Reeb flow in the complex hyperbolic two-plane Grassmannian G(2)*(Cm+2) does not admit a generalized gradient pseudo-Ricci-Yamabe soliton (M, Df, delta, epsilon, Omega, gamma, g). Moreover, we can also prove that there does not exist a contact hypersurface admitting a generalized gradient pseudo-Ricci-Yamabe soliton in G(2)*(Cm+2).

키워드