Certain inequalities for submanifolds in (K, μ)-contact space forms

被引:29
|
作者
Arslan, K
Ezentas, R
Mihai, I
Murathan, C
Özgür, C
机构
[1] Uludag Univ, Dept Math, TR-16059 Bursa, Turkey
[2] Fac Math, Bucharest 70109, Romania
关键词
D O I
10.1017/S0004972700039873
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Chen (1999) established a sharp relationship between the Ricci curvature and the squared mean curvature for a submanifold in a Riemanian space form with arbitrary codimension. Matsumoto (to appear) dealt with similar problems for submanifolds in complex space forms. In this article we obtain sharp relationships between the Ricci curvature and the squared mean curvature for submanifolds in (k,mu)-contact space forms.
引用
收藏
页码:201 / 212
页数:12
相关论文
共 50 条
  • [31] Geometric Inequalities of Slant Submanifolds in Locally Metallic Product Space Forms
    Li, Yanlin
    Aquib, Md
    Khan, Meraj Ali
    Al-Dayel, Ibrahim
    Youssef, Maged Zakaria
    AXIOMS, 2024, 13 (07)
  • [32] GEOMETRIC INEQUALITIES FOR WARPED PRODUCTS SUBMANIFOLDS IN GENERALIZED COMPLEX SPACE FORMS
    Aquib, Mohd
    Aslam, Mohd
    Boyom, Michel Nguiffo
    Shahid, Mohammad Hasan
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 38 (01): : 179 - 193
  • [33] Remarks on inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms
    Pan Zhang
    Liang Zhang
    Journal of Inequalities and Applications, 2014
  • [34] Wintgen inequalities on Legendrian submanifolds of generalized Sasakian-space-forms
    Hui, Shyamal K.
    Lemence, Richard S.
    Mandal, Pradip
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2020, 61 (01): : 105 - 117
  • [35] Chen Inequalities for Isotropic Submanifolds in Pseudo-Riemannian Space Forms
    Mirea, Marius
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2023, 16 (01): : 201 - 207
  • [36] Remarks on inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms
    Zhang, Pan
    Zhang, Liang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [37] Certain CR submanifolds of maximal CR dimension of complex space forms
    Djoric, Mirjana
    Okumura, Masafumi
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2008, 26 (02) : 208 - 217
  • [38] CERTAIN CLASS OF CONTACT CR-SUBMANIFOLDS OF A SASAKIAN SPACE FORM
    Kim, Hyang Sook
    Choi, Don Kwon
    Pak, Jin Suk
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 29 (01): : 131 - 140
  • [39] Contact CR-warped product submanifolds in cosymplectic space forms
    Mehmet Atçeken
    Collectanea mathematica, 2011, 62 : 17 - 26