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http://dx.doi.org/10.5666/KMJ.2011.51.4.395

Real Hypersurfaces in Complex Two-plane Grassmannians with F-parallel Normal Jacobi Operator  

Jeong, Im-Soon (Kyungpook National University, Department of Mathematics)
Suh, Young-Jin (Kyungpook National University, Department of Mathematics)
Publication Information
Kyungpook Mathematical Journal / v.51, no.4, 2011 , pp. 395-410 More about this Journal
Abstract
In this paper we give a non-existence theorem for Hopf hypersurfaces M in complex two-plane Grassmannians $G_2(\mathbb{C}^{m+2})$ whose normal Jacobi operator $\bar{R}_N$ is parallel on the distribution F defined by $F=[{\xi}]{\cup}D^{\bot}$, where [${\xi}$] = Span{${\xi}$}, $D^{\bot}$ = Span {${\xi}_1$, ${\xi}_2$, ${\xi}_3$} and $T_xM=D{\oplus}D^{\bot}$, $x{\in}M$.
Keywords
Real hypersurfaces; Complex two-plane Grassmannians; F-parallel normal Jacobi operator; Hopf hypersurfaces;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
Times Cited By SCOPUS : 0
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