RICCI-BOURGUIGNON AND GRADIENT SOLITONS ON REAL HYPERSURFACES IN THE COMPLEX QUADRIC

抄録

By using the property of generalized pseudo-anti-commuting, Ric Φ + Φ Ric = f Φ, for real hypersurfaces in the complex quadric Q^m = SO_m+2/SO₂SO_m, we give a complete classification of Ricci-Bourguignon soliton Hopf real hypersurfaces in the complex quadric Q^m. Then, as an application, we show a complete classification of Hopf Ricci-Bourguignon gradient solitons in the complex quadric Q^m.