Real hypersurfaces with ∗-η-Ricci-Yamabe solitons in the complex projective space

초록

In this paper, we give a complete classification of Hopf & lowast;-eta-Ricci-Yamabe soliton on real hypersurfaces in the complex projective space & Copf;p(n). As an application, first we give a complete classification of gradient & lowast;-eta-Ricci-Yamabe solitons on real hypersurfaces with isometric Reeb flow in the complex projective space & Copf;p(n). Next, we prove that a contact real hypersurface in & Copf;pn which admits a gradient & lowast;-eta-Ricci-Yamabe soliton is pseudo-Einstein.

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