Real Hypersurfaces in Complex Two-Plane Grassmannians with Reeb Parallel Structure Jacobi Operator

Canadian mathematical bulletin

Imsoon Jeong¹  Young Jin Suh¹  Seonhui Kim¹ 

[1] Department of Mathematics, Kyungpook National University, Taegu, 702-701, KOREA

关键词: real hypersurfaces;    complex two-plane Grassmannians;    Hopf hypersurface;    Reeb parallel;    structure Jacobi operator;   

DOI  :  10.4153/CMB-2013-018-3

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper we give a characterization of a real hypersurface ofType~$(A)$ in complex two-plane Grassmannians ${ { {G_2({mathbbC}^{m+2})} } }$, which means atube over a totally geodesic $G_{2}(mathbb C^{m+1})$ in${G_2({mathbb C}^{m+2})}$, bythe Reeb parallel structure Jacobi operator ${abla}_{xi}R_{xi}=0$.

【 授权许可】

Unknown