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

Title & Authors
REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH LIE ξ-PARALLEL NORMAL JACOBI OPERATOR
Jeong, Im-Soon; Suh, Young-Jin;

Abstract
In this paper we give some non-existence theorems for real hypersurfaces in complex two-plane Grassmannians $\small{G_2({\mathbb{C}}^{m+2})}$ with Lie $\small{{\xi}}$-parallel normal Jacobi operator $\small{\bar{R}_N}$ and another geometric conditions.
Keywords
complex two-plane Grassmannians;real hypersurfaces;Lie $\small{{\xi}}$-parallel;normal Jacobi operator Hopf hypersurfaces;
Language
English
Cited by
1.
REAL HYPERSURFACES OF TYPE B IN COMPLEX TWO-PLANE GRASSMANNIANS RELATED TO THE REEB VECTOR,;;

대한수학회보, 2010. vol.47. 3, pp.551-561
2.
Real Hypersurfaces in Complex Two-plane Grassmannians with F-parallel Normal Jacobi Operator,;;

Kyungpook mathematical journal, 2011. vol.51. 4, pp.395-410
3.
HOPF HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH LIE PARALLEL NORMAL JACOBI OPERATOR,;;;

대한수학회보, 2011. vol.48. 2, pp.427-444
4.
RECURRENT JACOBI OPERATOR OF REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS,;;;

대한수학회보, 2013. vol.50. 2, pp.525-536
1.
Real Hypersurfaces in Complex Two-plane Grassmannians with F-parallel Normal Jacobi Operator, Kyungpook mathematical journal, 2011, 51, 4, 395
2.
$$\mathfrak D$$ -parallelism of normal and structure Jacobi operators for hypersurfaces in complex two-plane Grassmannians, Annali di Matematica Pura ed Applicata, 2014, 193, 2, 591
3.
Real hypersurfaces in complex two-plane Grassmannians whose structure Jacobi operator is of Codazzi type, Acta Mathematica Hungarica, 2009, 125, 1-2, 141
4.
REAL HYPERSURFACES OF TYPE A IN COMPLEX TWO-PLANE GRASSMANNIANS RELATED TO THE NORMAL JACOBI OPERATOR, Bulletin of the Korean Mathematical Society, 2012, 49, 2, 423
5.
REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS SOME OF WHOSE JACOBI OPERATORS ARE ξ-INVARIANT, International Journal of Mathematics, 2012, 23, 03, 1250002
6.
REAL HYPERSURFACES OF TYPE B IN COMPLEX TWO-PLANE GRASSMANNIANS RELATED TO THE REEB VECTOR, Bulletin of the Korean Mathematical Society, 2010, 47, 3, 551
7.
HOPF HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH LIE PARALLEL NORMAL JACOBI OPERATOR, Bulletin of the Korean Mathematical Society, 2011, 48, 2, 427
8.
Real Hypersurfaces in Complex Two-Plane Grassmannians Whose Jacobi Operators Corresponding to -Directions are of Codazzi Type, Advances in Pure Mathematics, 2011, 01, 03, 67
9.
Semi-parallelism of normal Jacobi operator for Hopf hypersurfaces in complex two-plane Grassmannians, Monatshefte für Mathematik, 2013, 172, 2, 167
10.
Commuting structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians, Acta Mathematica Sinica, English Series, 2015, 31, 1, 111
11.
RECURRENT JACOBI OPERATOR OF REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS, Bulletin of the Korean Mathematical Society, 2013, 50, 2, 525
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