Pseudo-Ricci–Yamabe solitons on real hypersurfaces in the complex quadric

Pub Date : 2024-08-12 DOI:10.1002/mana.202400087

Young Jin Suh

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Abstract

First, we introduce a new notion of pseudo-anti commuting for real hypersurfaces in the complex quadric $Q^{m} = S O_{m + 2} / S O_{m} S O_{2}$ and give a complete classification of Hopf pseudo-Ricci–Yamabe soliton real hypersurfaces in the complex quadric $Q^{m}$ . Next as an application we obtain a classification of gradient pseudo-Ricci–Yamabe solitons on Hopf real hypersurfaces in $Q^{m}$ .

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