Real hypersurfaces of complex two-plane Grassmannians with certain parallel conditions

被引：1
|
作者：
Chen X. [1 ]
机构：
[1] College of Science, China University of Petroleum-Beijing, Beijing
来源：
Journal of Geometry | 2017年 / 108卷 / 3期
关键词：
*-Ricci tensor; Complex two-plane Grassmannians; Hopf hypersurface; Reeb Lie parallel; Reeb parallel;
D O I：
10.1007/s00022-017-0402-2
中图分类号：
学科分类号：
摘要：
In Chen (Bull Korean Math Soc 54(3):975–992, 2017), we introduce the notion of *-Ricci tensor in a real hypersurface of complex two-plane Grassmannians G2(Cm + 2) , m≥ 3 , and in the present paper we study the characterizations of the Hopf hypersurfaces in G2(Cm + 2) with parallel, Reeb parallel and Lie Reeb parallel *-Ricci tensor, respectively. © 2017, Springer International Publishing AG.
引用
收藏
页码：1157 / 1174
页数：17
相关论文
共 50 条
  • [31] Real hypersurfaces in complex two-plane Grassmannians with harmonic curvature
    Suh, Young Jin
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2013, 100 (01): : 16 - 33
  • [32] Real Hypersurfaces in Complex Two-plane Grassmannians with-a-parallel Normal Jacobi Operator
    Jeong, Imsoon
    Suh, Young Jin
    KYUNGPOOK MATHEMATICAL JOURNAL, 2011, 51 (04): : 395 - 410
  • [33] Real Hypersurfaces in Complex Two-Plane Grassmannians with Reeb Parallel Structure Jacobi Operator
    Jeong, Imsoon
    Kim, Seonhui
    Suh, Young Jin
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2014, 57 (04): : 821 - 833
  • [34] Real hypersurfaces in complex two-plane Grassmannians with Lie ξ-parallel normal Jacobi operator
    Jeong, Imsoon
    Suh, Young Jin
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (04) : 1113 - 1133
  • [35] REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH D⊥-PARALLEL STRUCTURE JACOBI OPERATOR
    Jeong, Imsoon
    Machado, Carlos J. G.
    De Dios Perez, Juan
    Suh, Young Jin
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2011, 22 (05) : 655 - 673
  • [36] Cyclic parallel structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians
    Lee, Hyunjin
    Suh, Young Jin
    Woo, Changhwa
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2022, 152 (04) : 939 - 964
  • [37] Hopf Hypersurfaces with η-Parallel Shape Operator in Complex Two-Plane Grassmannians
    Lee, Hyunjin
    Kim, Seonhui
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (04) : 937 - 948
  • [38] Pseudo-Einstein real hypersurfaces in complex two-plane Grassmannians
    Suh, YJ
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 73 (02) : 183 - 200
  • [39] Real hypersurfaces with isometric Reeb flow in complex two-plane Grassmannians
    Berndt, J
    Suh, YJ
    MONATSHEFTE FUR MATHEMATIK, 2002, 137 (02): : 87 - 98
  • [40] Real Hypersurfaces in Complex Two-plane Grassmannians with Reeb Parallel Ricci Tensor in the GTW Connection
    de Dios Perez, Juan
    Lee, Hyunjin
    Suh, Young Jin
    Woo, Changhwa
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2016, 59 (04): : 721 - 733
12345