Generalized Killing Ricci tensor for real hypersurfaces in the complex quadric

초록

First we introduce a new notion of generalized Killing Ricci tensor which is equivalent to the notion of cyclic parallel Ricci tensor for real hypersurfaces in the complex quadric Q(m) = SOm+2/SOmSO2. Next, in terms of U-principal or U-isotropic unit normal vector fields we give a complete classification of real hypersurfaces in Q(m) = SOm+2/SOmSO2 with cyclic parallel Ricci tensor.

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