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http://dx.doi.org/10.4134/JKMS.2004.41.3.535

REAL HYPERSUREAACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH PARALLEL SHAPE OPERATOR II  

Suh, Young-Jin (Department of Mathematics Kyungpook National University)
Publication Information
Journal of the Korean Mathematical Society / v.41, no.3, 2004 , pp. 535-565 More about this Journal
Abstract
In this paper we consider the notion of ξ-invariant or (equation omitted)-invariant real hypersurfaces in a complex two-plane Grassmannian $G_2$( $C^{m+2}$) and prove that there do not exist such kinds of real hypersurfaces in $G_2$( $C^{m+2}$) with parallel second fundamental tensor on a distribution ζ defined by ζ = ξ U(equation omitted), where(equation omitted) = Span ｛ξ$_1$, ξ$_2$, ξ$_3$｝.X>｝.
Keywords
complex Grassmannians; real hypersurfaces; tubes; shape operator; Kahler structure; quaternionic Kahler structure.;
Citations & Related Records

Times Cited By Web Of Science : 12  (Related Records In Web of Science)
Times Cited By SCOPUS : 14
연도 인용수 순위
1 On real hypersurfaces of a compoex projective space Ⅱ /
[ M.Kimura;S.Maeda ] / Tsukuba J. Math.   DOI
2 Real hypersurfaces in complex two-plane Grassmannians with parallel shape operator /
[ Y.J.Suh ] / Bull. Austral. Math. Soc.   DOI
3 Real hypersurfaces of quaternionic projective space satisfying ∇<TEX>$U_i$</TEX>R=0 /
[ J.D.Perez;Y.J.Suh ] / Diff. Geom. Appl.   DOI   ScienceOn
4 Real hypersurfaces in complex two-plane Grassmannians /
[ J.Berndt;Y.J.Suh ] / Monatsh. Math   DOI   ScienceOn
5 Focal sets and real hypersurfaces in complex projective space /
[ T.E.Cecil;P.J.Ryan ] / Trans. Amer. Math. Soc.   DOI   ScienceOn
6 Riemannian geometry of complex two-plane Grassmannians /
[ J.Berndt ] / Rend. Sem. Mat. Univ. Politec Torino
7 Compact quaternion spaces /
[ D.V.Alekseevskii ] / Funct. Anal. Appl.   DOI
8 Real hypersurfaces in comples two-plane Grassmannians with commuting shpae operator /
[ Y.J.Suh ] / Bull. Austral. Math. Soc.   DOI
9 Real hypersurfaces and complex submanifolds in complex projective space /
[ M.Kimura ] / Trans. Amer. Math. Soc.   DOI   ScienceOn
10 Real hypersurfaces of quaternionic projective space satisfying ∇<TEX>$U_i$</TEX>A=0 /
[ J.D.Perez ] / J. Geom.   DOI
11 Isometric flows on real hypersurfaces in complex two-plane Grassmannians /
[ J.Berndt;Y.J.Suh ] / Monatsh. Math.   DOI   ScienceOn
12 Real hypersurfaces in quaternionic space forms /
[ J.Berndt ] / J. Reine Angew. Math.