Real hypersurfaces in the complex quadric with commuting and parallel Ricci tensor

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• 作者：Young Jin Suh ^{yjsuh@knu.ac.kr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 53C40 ; secondary ; 53C55
• 刊名：Journal of Geometry and Physics
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：106
• 期：Complete
• 页码：130-142
• 全文大小：413 K

文摘

First we introduce the notion of commuting and parallel Ricci tensor for real hypersurfaces in the complex quadric Q^m=SO_m+2/SO₂SO_m$Q^m=S{O}_{m+2}/S{O}_{2}S{O}_m$. Then, according to the A$\mathfrak{A}$-isotropic unit normal N$N$, we give a complete classification of real hypersurfaces in Q^m=SO_m+2/SO₂SO_m$Q^m=S{O}_{m+2}/S{O}_{2}S{O}_m$ with commuting and parallel Ricci tensor.