Remarks on inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms

被引:8
作者
Zhang, Pan [1 ]
Zhang, Liang [1 ]
机构
[1] Anhui Normal Univ, Sch Math & Comp Sci, Wuhu 241000, Anhui, Peoples R China
来源
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
关键词
inequalities; Casorati curvatures; quaternionic space forms; LAGRANGIAN SUBMANIFOLDS;
D O I
10.1186/1029-242X-2014-452
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we obtain an inequality for the normalized Casorati curvature of slant submanifolds in quaternionic space forms by using T Oprea's optimization method.
引用
收藏
页数:6
相关论文
共 16 条
  • [1] TWO OPTIMAL INEQUALITIES FOR ANTI-HOLOMORPHIC SUBMANIFOLDS AND THEIR APPLICATIONS
    Al-Solamy, Falleh R.
    Chen, Bang-Yen
    Deshmukh, Sharief
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (01): : 199 - 217
  • [2] Optimal general inequalities for Lagrangian submanifolds in complex space forms
    Chen, Bang-Yen
    Dillen, Franki
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 379 (01) : 229 - 239
  • [3] TOTALLY-REAL SUBMANIFOLDS OF CPN SATISFYING A BASIC EQUALITY
    CHEN, BY
    DILLEN, F
    VERSTRAELEN, L
    VRANCKEN, L
    [J]. ARCHIV DER MATHEMATIK, 1994, 63 (06) : 553 - 564
  • [4] SOME PINCHING AND CLASSIFICATION-THEOREMS FOR MINIMAL SUBMANIFOLDS
    CHEN, BY
    [J]. ARCHIV DER MATHEMATIK, 1993, 60 (06) : 568 - 578
  • [5] DECU S, 2007, B TRANSILV U BRASO B, V14, P85
  • [6] Gulbahar M., 2013, J. Inequal. Appl., P266
  • [7] Optimal inequalities for the Casorati curvatures of submanifolds of real space forms endowed with semi-symmetric metric connections
    Lee, Chul Woo
    Yoon, Dae Won
    Lee, Jae Won
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [8] INEQUALITIES FOR GENERALIZED NORMALIZED δ-CASORATI CURVATURES OF SLANT SUBMANIFOLDS IN QUATERNIONIC SPACE FORMS
    Lee, Jaewon
    Vilcu, Gabriel-Eduard
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2015, 19 (03): : 691 - 702
  • [9] Oprea T., 2005, An. Univ. Bucur. Mat, V54, P127
  • [10] OPREA T, 2007, COLLOQ MATH-WARSAW, V108, P163, DOI DOI 10.4064/CM108-1-15