Hypersurfaces in nearly Kaehler manifold S3 x S3

被引:0
|
作者
Yang, Biaogui [1 ]
Zhu, Qingqing [2 ]
机构
[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350117, Fujian, Peoples R China
[2] Xiamen Shuangshi Middle Sch, Math Teaching & Res Grp, Zhangzhou Branch Campus, Zhangzhou 363107, Peoples R China
关键词
Nearly Kaehler manifold; contact hypersurface; contact metric structure; minimal hypersurface; shape operator; conformal vector field;
D O I
10.1007/s12044-017-0348-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we initiate the study of contact and minimal hypersurfaces in nearly Kaehler manifold with a conformal vector field. There are three almost contact metric structures on a hypersurface of , and we will give some important properties of them. Besides, we study the influence of the conformal vector field on the almost contact metric structures and use it to characterize the hypersurfaces in S-3 x S-3.
引用
收藏
页码:707 / 717
页数:11
相关论文
共 50 条
  • [1] On some hypersurfaces of the homogeneous nearly Kahler S3 x S3
    Hu, Zejun
    Yao, Zeke
    Zhang, Yinshan
    [J]. MATHEMATISCHE NACHRICHTEN, 2018, 291 (2-3) : 343 - 373
  • [2] On Hopf hypersurfaces of the homogeneous nearly Kahler S3 x S3
    Hu, Zejun
    Yao, Zeke
    [J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2020, 199 (03) : 1147 - 1170
  • [3] On Hopf hypersurfaces of the homogeneous nearly Kahler S3 x S3, II
    Yao, Zeke
    Hu, Zejun
    [J]. MANUSCRIPTA MATHEMATICA, 2022, 168 (3-4) : 371 - 402
  • [4] On the nonexistence and rigidity for hypersurfaces of the homogeneous nearly Kahler S3 x S3
    Hu, Zejun
    Moruz, Marilena
    Vrancken, Luc
    Yao, Zeke
    [J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021, 75
  • [5] HOPF HYPERSURFACES OF THE HOMOGENEOUS NEARLY KAHLER S3 x S3 SATISFYING CERTAIN COMMUTING CONDITIONS
    Chen, Xiaomin
    Yang, Yifan
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2022, 59 (06) : 1567 - 1594
  • [6] Hypersurfaces of the Homogeneous Nearly Kahler S3 x S3 with P-Invariant Holomorphic Distributions
    Yao, Zeke
    Zhang, Xi
    Hu, Zejun
    [J]. JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (07)
  • [7] Real hypersurfaces of the homogeneous nearly Kahler S3 x S3 with P-isotropic normal
    Djoric, Milos
    Djoric, Mirjana
    Moruz, Marilena
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 2021, 160
  • [8] Hypersurfaces of the homogeneous nearly Kahler S6 and S3 x S3 with anticommutative structure tensors
    Hu, Zejun
    Yao, Zeke
    Zhang, Xi
    [J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2019, 26 (04) : 535 - 549
  • [9] On the isometries of homogeneous nearly Kahler S3 x S3
    Djoric, Milos B.
    Djoric, Mirjana
    [J]. FILOMAT, 2023, 37 (25) : 8651 - 8660
  • [10] Geodesic lines on nearly Kahler S3 x S3
    Djoric, Milos
    Djoric, Mirjana
    Moruz, Marilena
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 466 (01) : 1099 - 1108