Inequalities for the Generalized Normalized δ-Casorati Curvatures of Submanifolds in Golden Riemannian Manifolds

被引:1
作者
Choudhary, Majid Ali [1 ]
Mihai, Ion [2 ]
机构
[1] Maulana Azad Natl Urdu Univ, Cent Univ, Sch Sci, Dept Math, Hyderabad 500032, India
[2] Univ Bucharest, Fac Math & Comp Sci, Dept Math, Bucharest 010014, Romania
关键词
Riemannian manifolds; golden structure; delta-Casorati curvature; optimal inequality; SLANT SUBMANIFOLDS;
D O I
10.3390/axioms12100952
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the present article, we consider submanifolds in golden Riemannian manifolds with constant golden sectional curvature. On such submanifolds, we prove geometric inequalities for the Casorati curvatures. The submanifolds meeting the equality cases are also described.
引用
收藏
页数:14
相关论文
共 50 条
  • [41] Casorati Inequalities for Submanifolds in a Riemannian Manifold of Quasi-Constant Curvature with a Semi-Symmetric Metric Connection
    Zhang, Pan
    Zhang, Liang
    SYMMETRY-BASEL, 2016, 8 (04):
  • [42] INEQUALITIES INVOLVING k-CHEN INVARIANTS FOR SUBMANIFOLDS OF RIEMANNIAN PRODUCT MANIFOLDS
    Gulbahar, Mehmet
    Tripathi, Mukut Mani
    Kilic, Erol
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (01): : 466 - 483
  • [43] A Comprehensive Review of Golden Riemannian Manifolds
    Chen, Bang-Yen
    Choudhary, Majid Ali
    Perween, Afshan
    AXIOMS, 2024, 13 (10)
  • [44] Screen Semi-Invariant Lightlike Submanifolds of Golden Semi-Riemannian Manifolds
    Poyraz, Nergiz
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2021, 14 (01): : 207 - 216
  • [45] Generalized inequalities on warped product submanifolds in nearly trans-Sasakian manifolds
    Mustafa, Abdulqader
    Uddin, Siraj
    Wong, Bernardine Renaldo
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [46] Applications of the Golden Ratio on Riemannian Manifolds
    Hretcanu, Cristina-Elena
    Crasmareanu, Mircea-Claudiu
    TURKISH JOURNAL OF MATHEMATICS, 2009, 33 (02) : 179 - 191
  • [47] Hardy inequalities on Riemannian manifolds and applications
    D'Ambrosio, Lorenzo
    Dipierro, Serena
    ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2014, 31 (03): : 449 - 475
  • [48] On generalized recurrent Riemannian manifolds
    Singh, H
    Khan, Q
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2000, 56 (1-2): : 87 - 95
  • [49] Functional inequalities on arbitrary Riemannian manifolds
    Wang, FY
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 300 (02) : 426 - 435
  • [50] MULTIPOLAR HARDY INEQUALITIES ON RIEMANNIAN MANIFOLDS
    Faraci, Francesca
    Farkas, Csaba
    Kristaly, Alexandru
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2018, 24 (02) : 551 - 567