Real hypersurfaces with (δ, ϵ)-Ricci-Bourguignon soliton and its gradient in the complex quadric

초록

By using the notion of generalized pseudo-anti commuting Ricci tensor defined by Ric phi + phi Ric = f phi for real hypersurfaces in the complex quadric Q(m )= SOm+2/SO2SOm, we give a complete classification of Hopf (delta, & varepsilon;)-Ricci-Bourguignon soliton real hypersurfaces in the complex quadric Q(m). Next, as an application, we show a complete classification of gradient (delta, & varepsilon;)-Ricci-Bourguignon soliton on Hopf real hypersurfaces in the complex quadric Q(m) with isometric Reeb flow or contact hypersurfaces.

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