Real hypersurfaces in complex two-plane Grassmannians with certain commuting condition

被引：0
|
作者：
Hyunjin Lee
Seonhui Kim
Young Jin Suh
机构：
[1] Kyungpook National University,Graduate School of Electrical Engineering University and Computer Science
[2] Kyungpook National University,Department of Mathematics
来源：
Czechoslovak Mathematical Journal | 2012年 / 62卷
关键词：
real hypersurface; complex two-plane Grassmannians; Hopf hypersurface; commuting shape operator; 53C50; 53C55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, first we introduce a new notion of commuting condition that φφ1A = Aφ1φ between the shape operator A and the structure tensors φ and φ1 for real hypersurfaces in G2(ℂm+2). Suprisingly, real hypersurfaces of type (A), that is, a tube over a totally geodesic G2(ℂm+1) in complex two plane Grassmannians G2(ℂm+2) satisfy this commuting condition. Next we consider a complete classification of Hopf hypersurfaces in G2(ℂm+2) satisfying the commuting condition. Finally we get a characterization of Type (A) in terms of such commuting condition φφ1A = Aφ1φ.
引用
收藏
页码：849 / 861
页数：12
相关论文
共 50 条
  • [21] Real hypersurfaces of type (A) in complex two-plane Grassmannians related to the commuting shape operator
    Jeong, Imsoon
    Suh, Young Jin
    FORUM MATHEMATICUM, 2013, 25 (01) : 179 - 192
  • [22] Real Hypersurfaces in Complex Hyperbolic Two-Plane Grassmannians with Commuting Structure Jacobi Operators
    Lee, Hyunjin
    Suh, Young Jin
    Woo, Changhwa
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (05) : 3389 - 3407
  • [23] Real Hypersurfaces in Complex Hyperbolic Two-Plane Grassmannians with Commuting Structure Jacobi Operators
    Hyunjin Lee
    Young Jin Suh
    Changhwa Woo
    Mediterranean Journal of Mathematics, 2016, 13 : 3389 - 3407
  • [24] Real minimal hypersurfaces in complex two-plane Grassmannians
    Sung Hoon Choe
    Young Jin Suh
    Acta Mathematica Hungarica, 2011, 131 : 174 - 192
  • [25] COMPACT REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS
    de Dios Perez, Juan
    Oh, Jung Taek
    Suh, Young Jin
    HOUSTON JOURNAL OF MATHEMATICS, 2012, 38 (02): : 469 - 492
  • [26] Recurrent real hypersurfaces in complex two-plane Grassmannians
    Young Jin Suh
    Acta Mathematica Hungarica, 2006, 112 : 89 - 102
  • [27] Recurrent real hypersurfaces in complex two-plane Grassmannians
    Suh, Y. J.
    ACTA MATHEMATICA HUNGARICA, 2006, 112 (1-2) : 89 - 102
  • [28] Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting restricted normal Jacobi operators
    Doo Hyun Hwang
    Eunmi Pak
    Changhwa Woo
    Czechoslovak Mathematical Journal, 2017, 67 : 989 - 1004
  • [29] REAL HYPERSURFACES IN COMPLEX HYPERBOLIC TWO-PLANE GRASSMANNIANS WITH COMMUTING RESTRICTED NORMAL JACOBI OPERATORS
    Hwang, Doo Hyun
    Pak, Eunmi
    Woo, Changhwa
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2017, 67 (04) : 989 - 1004
  • [30] Pseudo anti-commuting and Ricci soliton real hypersurfaces in complex two-plane Grassmannians
    Jeong, Imsoon
    Suh, Young Jin
    JOURNAL OF GEOMETRY AND PHYSICS, 2014, 86 : 258 - 272
12345