D-Parallel structure Lie operators on real hypersurfaces in nonflat complex space forms

被引：0
|
作者：
Wang, Wenjie [1 ]
机构：
[1] Zhengzhou Univ Aeronaut, Sch Math, Zhengzhou 450046, Henan, Peoples R China
来源：
PERIODICA MATHEMATICA HUNGARICA | 2025年 / 90卷 / 01期
关键词：
Real hypersurface; Nonflat complex space form; Structure Lie operator;
D O I：
10.1007/s10998-024-00612-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove that the structure Lie operator of a real hypersurface in a nonflat complex space form is D-parallel if and only if the hypersurface is an open subset of a type (A) hypersurface.
引用
收藏
页码：186 / 191
页数：6
相关论文
共 50 条
  • [41] On the Lie derivative of structure Jacobi operator of real hypersurfaces in complex projective space
    Pérez, JD
    Santos, FG
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2005, 66 (3-4): : 269 - 282
  • [42] A STUDY OF REAL HYPERSURFACES WITH RICCI OPERATORS IN 2-DIMENSIONAL COMPLEX SPACE FORMS
    Lim, Dong Ho
    Sohn, Woon Ha
    Song, Hyunjung
    PACIFIC JOURNAL OF MATHEMATICS, 2013, 266 (02) : 305 - 311
  • [43] Real hypersurfaces in a complex projective space with pseudo-D-parallel structure Jacobi operator
    Lee, Hyunjin
    de Dios Perez, Juan
    Suh, Young Jin
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2010, 60 (04) : 1025 - 1036
  • [44] NON-EXISTANCE REAL HYPERSURFACES IN A NONFLAT COMPLEX SPACE FORM WITH CODAZZI TYPE OF STRUCTURE TENSOR FIELD
    Lim, Dong Ho
    Kim, Hwa Soo
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2021, 28 (01): : 55 - 60
  • [45] On Three Dimensional Real Hypersurfaces in Complex Space Forms
    Cho, Jong Taek
    Hamada, Tatsuyoshi
    Inoguchi, Jun-ichi
    TOKYO JOURNAL OF MATHEMATICS, 2010, 33 (01) : 31 - 47
  • [46] Intrinsic properties of real hypersurfaces in complex space forms
    Ryan, PJ
    GEOMETRY AND TOPOLOGY OF SUBMANIFOLDS X: DIFFERENTIAL GEOMETRY IN HONOR OF PROF S.S. CHERN, 2000, : 266 - 273
  • [47] Real hypersurfaces in complex space forms with special almost contact structures
    Pan, Quanxiang
    AIMS MATHEMATICS, 2023, 8 (11): : 27200 - 27209
  • [48] Structure Jacobi Operators of Real Hypersurfaces with Constant Mean Curvature in a Complex Space Form
    Hwang, Tae Yong
    Ki, U-Hang
    Kurihara, Hiroyuki
    KYUNGPOOK MATHEMATICAL JOURNAL, 2016, 56 (04): : 1207 - 1235
  • [49] Real hypersurfaces in complex space forms with Reeb flow symmetric structure Jacobi operator
    Cho, Jong Taek
    Ki, U-Hang
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2008, 51 (03): : 359 - 371
  • [50] Real Hypersurfaces of a Complex Projective Space in Terms of the Jacobi Operators
    Jong Taek Cho
    U-Hang Ki
    Acta Mathematica Hungarica, 1998, 80 : 155 - 167
12345