Generalized Killing Ricci tensor for real hypersurfaces in the complex quadric

Young Jin Suh

Mathematische Nachrichten, 2023, vol. 296, issue 1, 382-401

Abstract: 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 Qm=SOm+2/SOmSO2$Q^m = SO_{m+2}/SO_mSO_2$. Next, in terms of A$\mathfrak {A}$‐principal or A$\mathfrak {A}$‐isotropic unit normal vector fields we give a complete classification of real hypersurfaces in Qm=SOm+2/SOmSO2$Q^m = SO_{m+2}/SO_mSO_2$ with cyclic parallel Ricci tensor.

Date: 2023
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