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

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

In this paper we give some non-existence theorems for Hopf hypersurfaces in the complex two-plane Grassmannian G_2(C^(m+2)) with Lie parallel normal Jacobi operator [기호]_N and totally geodesic [기호]and [기호]components of the Reeb flow. KCI Citation Count: 5

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Veröffentlicht in:Taehan Suhakhoe hoebo 2011, 48(2), , pp.427-444
Hauptverfasser: Jeong, Im-Soon, Lee, Hyun-Jin, Suh, Young-Jin
Format: Artikel
Sprache:eng
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수학
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Zusammenfassung:In this paper we give some non-existence theorems for Hopf hypersurfaces in the complex two-plane Grassmannian G_2(C^(m+2)) with Lie parallel normal Jacobi operator [기호]_N and totally geodesic [기호]and [기호]components of the Reeb flow. KCI Citation Count: 5
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.2011.48.2.427