Ricci-Bourguignon solitons on real hypersurfaces in the complex hyperbolic quadric

초록

By using the property of generalized pseudo-anti commuting Ricci tensor, that is, Ric phi + phi Ric = f phi, for real hypersurfaces in the complex hyperbolic quadric Qin*, we give a complete classification of Hopf Ricci-Bouguignon soliton real hypersurfaces in the complex hyperbolic quadric Q(m)*. Next as an application we obtain a classification of gradient Ricci-Bouguignon solitons on Hopf real hypersurfaces in Q(m)*.

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