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http://dx.doi.org/10.4134/BKMS.2011.48.2.427

HOPF HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH LIE PARALLEL NORMAL JACOBI OPERATOR  

Jeong, Im-Soon (Department of Mathematics Kyungpook National University)
Lee, Hyun-Jin (Graduate School of Electrical Engineering and Computer Sciences Kyungpook National University)
Suh, Young-Jin (Department of Mathematics Kyungpook National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.2, 2011 , pp. 427-444 More about this Journal
Abstract
In this paper we give some non-existence theorems for Hopf hypersurfaces in the complex two-plane Grassmannian $G_2(\mathbb{C}^{m+2})$ with Lie parallel normal Jacobi operator $\bar{R}_N$ and totally geodesic D and $D^{\bot}$ components of the Reeb flow.
Keywords
complex two-plane Grassmannians; Hopf hypersurfaces; Reeb vector field; normal Jacobi operator; Lie derivative;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
Times Cited By Web Of Science : 0  (Related Records In Web of Science)
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