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http://dx.doi.org/10.4134/BKMS.2010.47.3.551

REAL HYPERSURFACES OF TYPE B IN COMPLEX TWO-PLANE GRASSMANNIANS RELATED TO THE REEB VECTOR  

Lee, Hyun-Jin (Graduate School of Electrical Engineering & Computer Science Kyungpook National University)
Suh, Young-Jin (Department of Mathematics Kyungpook National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.47, no.3, 2010 , pp. 551-561 More about this Journal
Abstract
In this paper we give a new characterization of real hypersurfaces of type B, that is, a tube over a totally geodesic $\mathbb{Q}P^n$ in complex two-plane Grassmannians $G_2(\mathbb{C}^{m+2})$, where m = 2n, with the Reeb vector $\xi$ belonging to the distribution $\mathfrak{D}$, where $\mathfrak{D}$ denotes a subdistribution in the tangent space $T_xM$ such that $T_xM$ = $\mathfrak{D}{\bigoplus}\mathfrak{D}^{\bot}$ for any point $x{\in}M$ and $\mathfrak{D}^{\bot}=Span{\xi_1,\;\xi_2,\;\xi_3}$.
Keywords
complex two-plane Grassmannians; real hypersurfaces of type B; Hopf hypersurface; Reeb vector field; $\mathfrak{D}$-distribution;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 3  (Related Records In Web of Science)
Times Cited By SCOPUS : 6
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