Real hypersurfaces in the complex hyperbolic quadric with pseudo-Ricci-Bourguignon solitons

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 Q(m & lowast;), we give a non-existence theorem for Hopf pseudo-Ricci-Bouguignon soliton real hypersurfaces in the complex hyperbolic quadric Q(m & lowast;). Next as an application we obtain a classification of gradient pseudo-Ricci-Bouguignon solitons on Hopf real hypersurfaces in Q(m & lowast;).

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