Ricci curvature of slant submanifolds in (k, μ)-contact space forms

被引:0
|
作者
Shukla, S. S. [1 ]
Tiwari, Sanjay Kumar [1 ]
机构
[1] Univ Allahabad, Dept Math, Allahabad 211002, Uttar Pradesh, India
来源
关键词
Mean curvature; sectional curvature; scalar curvature; s-Ricci curvature; slant submanifold; semi-slant submanifold; bi-slant submanifold; (k; mu)-contact space form; MANIFOLDS;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
B.Y. Chen (1999) established a clear relationship involving intrinsic invariants, namely the sectional curvature and the scalar curvature and the main extrinsic invariants, namely the squared mean curvature for a submanifold in real space form with arbitrary co-dimension. In this article, we establish inequalities between the Ricci curvature and the squared mean curvature, and also between the s-Ricci curvature and the scalar curvature for a slant, semi-slant and bi-slant submanifolds in (k,mu)-contact space forms.
引用
收藏
页码:31 / 49
页数:19
相关论文
共 50 条
  • [1] Scalar and Ricci curvatures of special contact slant submanifolds in Sasakian space forms
    Mihai, Adela
    Radulescu, Ioana N.
    ADVANCES IN GEOMETRY, 2014, 14 (01) : 147 - 159
  • [2] Ricci curvature of submanifolds in Sasakian space forms
    Mihai, I
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2002, 72 : 247 - 256
  • [3] Ricci curvature of semi-slant warped product submanifolds in generalized complex space forms
    Alkhaldi, Ali H.
    Khan, Meraj Ali
    Hui, Shyamal Kumar
    Mandal, Pradip
    AIMS MATHEMATICS, 2022, 7 (04): : 7069 - 7092
  • [4] Ricci Curvature of Certain Submanifolds in Kenmotsu Space Forms
    Liu Jian-yu1 and Liu Xi-min2 (1.Department of Mathematics
    CommunicationsinMathematicalResearch, 2009, 25 (04) : 340 - 348
  • [5] RICCI CURVATURE OF LAGRANGIAN SUBMANIFOLDS IN COMPLEX SPACE FORMS
    Oprea, Teodor
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2010, 13 (04): : 851 - 858
  • [6] Ricci tensor of slant submanifolds in locally metallic product space forms
    Aquib, Md
    Khan, Meraj Ali
    Al-Dayel, Ibrahim
    FILOMAT, 2024, 38 (10) : 3523 - 3534
  • [7] Curvature invariants of slant submanifolds in S-space forms
    Alegre, P.
    Barrera, J.
    Carriazo, A.
    Fernandez, L. M.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2022, 53 (04): : 993 - 1005
  • [8] Curvature invariants of slant submanifolds in S-space forms
    P. Alegre
    J. Barrera
    A. Carriazo
    L. M. Fernández
    Indian Journal of Pure and Applied Mathematics, 2022, 53 : 993 - 1005
  • [9] Estimation of Ricci Curvature for Hemi-Slant Warped Product Submanifolds of Generalized Complex Space Forms and Their Applications
    Al-Dayel, Ibrahim
    SYMMETRY-BASEL, 2023, 15 (06):
  • [10] On Ricci curvature of isotropic and Lagrangian submanifolds in complex space forms
    Chen, BY
    ARCHIV DER MATHEMATIK, 2000, 74 (02) : 154 - 160