Generalized Killing Ricci tensor for real hypersurfaces in the complex quadric期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Generalized Killing Ricci tensor for real hypersurfaces in the complex quadric

Authors:	Young Jin Suh

Affiliation:	Department of Mathematics & RIRCM, Kyungpook National University, Daegu, 41566 Republic of Korea

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 $Q^{m} = S O_{m + 2} / S O_{m} S O_{2} $Q^m = SO_{m+2}/SO_mSO_2$$ . Next, in terms of $A $mathfrak {A}$$ -principal or $A $mathfrak {A}$$ -isotropic unit normal vector fields we give a complete classification of real hypersurfaces in $Q^{m} = S O_{m + 2} / S O_{m} S O_{2} $Q^m = SO_{m+2}/SO_mSO_2$$ with cyclic parallel Ricci tensor.

Keywords:	A$mathfrak {A}$-isotropic A$mathfrak {A}$-principal complex conjugation complex quadric cyclic parallel Ricci tensor generalized Killing Ricci tensor Kähler structure