Pseudo-Ricci-Yamabe Soliton Real Hypersurfaces in the Complex Two-Plane Grassmannians

초록

In this paper, we want to give a complete classification of Hopfreal hypersurfaces in the complex two-plane Grassmannian G(2)(Cm+2)satisfying a pseudo-Ricci-Yamabe soliton if we use the notion of pseudo-anti commuting Ricci tensor. In addition to this one, we have proved thata real hypersurface with isometric Reeb flow in the complex two-plane Grassmannian G(2)(Cm+2) does not satisfy a gradient pseudo-Ricci-Yamabesoliton (M, Df, delta, psi,Omega,rho,gamma,g). Moreover, we can also prove that theredoes not exist a contact hypersurface satisfying a gradient pseudo-Ricci-Yamabe soliton in G(2)(Cm+2).

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