Real hypersurfaces of type (A) in complex two-plane Grassmannians related to the commuting shape operator

被引：6
|
作者：
Jeong, Imsoon [1 ]
Suh, Young Jin [1 ]
机构：
[1] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea
来源：
FORUM MATHEMATICUM | 2013年 / 25卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Real hypersurfaces; complex two-plane Grassmannians; Hopf hypersurface; commuting shape operator;
D O I：
10.1515/forum-2012-0029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give some characterizations of real hypersurfaces of type (A) in complex two plane Grassmannians G(2)(Cm+2), that is, a tube over a totally geodesic G(2)(Cm+1) in G(2)(Cm+2) with the commuting condition Lambda phi(1)phi = phi(1)phi Lambda for the shape operator Lambda, the structure tensors phi and phi(1), together with additional geometric conditions.
引用
收藏
页码：179 / 192
页数：14
相关论文
共 50 条
  • [41] The normal Jacobi operator of real hypersurfaces in complex hyperbolic two-plane Grassmannians
    Panagiotidou, Konstantina
    De Dios Perez, Juan
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2015, 26 (09)
  • [42] Real minimal hypersurfaces in complex two-plane Grassmannians
    Choe, S. H.
    Suh, Y. J.
    ACTA MATHEMATICA HUNGARICA, 2011, 131 (1-2) : 174 - 192
  • [43] REAL HYPERSURFACES OF TYPE B IN COMPLEX TWO-PLANE GRASSMANNIANS RELATED TO THE REEB VECTOR
    Lee, Hyunjin
    Suh, Young Jin
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (03) : 551 - 561
  • [44] Real Hypersurfaces of Type A in Complex Two-Plane Grassmannians Related to The Reeb Vector Field
    Lee, Ruenn-Huah
    Loo, Tee-How
    22ND NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM22), 2015, 1682
  • [45] Real hypersurfaces in complex two-plane grassmannians with parallel structure Jacobi operator
    Jeong, I.
    Perez, J. D.
    Suh, Y. J.
    ACTA MATHEMATICA HUNGARICA, 2009, 122 (1-2) : 173 - 186
  • [46] Real hypersurfaces in complex two-plane grassmannians with parallel structure Jacobi operator
    I. Jeong
    J. D. Pérez
    Y. J. Suh
    Acta Mathematica Hungarica, 2009, 122 : 173 - 186
  • [47] Real hypersurfaces in complex two-plane Grassmannians with parallel normal Jacobi operator
    Jeong, Imsoon
    Kim, Hee Jin
    Suh, Young Jin
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2010, 76 (1-2): : 203 - 218
  • [48] 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
  • [49] 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
  • [50] Real minimal hypersurfaces in complex two-plane Grassmannians
    Sung Hoon Choe
    Young Jin Suh
    Acta Mathematica Hungarica, 2011, 131 : 174 - 192
12345