A characterization of totally real statistical submanifolds in quaternion Kaehler-like statistical manifolds

被引：4
|
作者：
Lone, Mohamd Saleem [1 ]
Lone, Mehraj Ahmad [2 ]
Mihai, Adela [3 ,4 ]
机构：
[1] Univ Kashmir, Fac Phys & Math Sci, Dept Math, Srinagar 190006, India
[2] Natl Inst Technol, Dept Math, Srinagar 190006, J&k, India
[3] Tech Univ Civil Engn Bucharest, Dept Math & Comp Sci, Bd Lacul Tei 122-124, Bucharest 020396, Romania
[4] Transilvania Univ Brasov, Interdisciplinary Doctoral Sch, Fac Math & Comp Sci, Bd Eroilor 29, Brasov 500036, Romania
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2022年 / 116卷 / 01期
关键词：
Sectional curvature; Scalar curvature; Chen inequality; Statistical manifolds; Quaternion Kaehler-like statistical manifold; SLANT SUBMANIFOLDS; SHAPE OPERATOR; INEQUALITIES; CURVATURE;
D O I：
10.1007/s13398-021-01200-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By obtaining the basic Chen inequalities for totally real (in particular Lagrangian) submanifolds in quaternion Kaehler-like statistical manifolds, we derive conditions for the minimality of Lagragian submanifolds.
引用
收藏
页数：13
相关论文
共 50 条
  • [21] Statistical Solitonic Impact on Submanifolds of Kenmotsu Statistical Manifolds
    Ahmadini, Abdullah Ali H.
    Siddiqi, Mohd. Danish
    Siddiqui, Aliya Naaz
    MATHEMATICS, 2024, 12 (09)
  • [22] GEOMETRIC INEQUALITIES FOR STATISTICAL SUBMANIFOLDS IN COSYMPLECTIC STATISTICAL MANIFOLDS
    Kazaz, Mustafa
    Aslam, Mohd
    Aquib, Mohd
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2024, 48 (03): : 393 - 405
  • [23] On CR-Statistical Submanifolds of Holomorphic Statistical Manifolds
    Siddiqui, Aliya Naaz
    Al-Solamy, Falleh R.
    Shahid, Mohammad Hasan
    Mihai, Ion
    FILOMAT, 2021, 35 (11) : 3571 - 3584
  • [24] Totally Real Minimal Submanifolds in a Quaternion Projective Space
    舒世昌
    贾兴琴
    数学季刊, 1997, (01) : 70 - 75
  • [25] Totally real minimal submanifolds in a Quaternion projective space
    Liu, XM
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1996, 72 (10) : 238 - 239
  • [26] TOTALLY REAL SUBMANIFOLDS OF (LCS)(n)-MANIFOLDS
    Hui, Shyamal Kumar
    Pal, Tanumoy
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2018, 33 (02): : 141 - 152
  • [27] Relations between Extrinsic and Intrinsic Invariants of Statistical Submanifolds in Sasaki-Like Statistical Manifolds
    Aytimur, Hulya
    Mihai, Adela
    ozgur, Cihan
    MATHEMATICS, 2021, 9 (11)
  • [28] Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kahler Space Forms
    Chen, Bang-Yen
    Decu, Simona
    Vilcu, Gabriel-Eduard
    ENTROPY, 2021, 23 (11)
  • [29] Totally real bisectional curvature, Bochner-Kaehler and Einstein-Kaehler manifolds
    Chen, BY
    Dillen, F
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 1999, 10 (02) : 145 - 154
  • [30] Wintgen inequality for statistical submanifolds in statistical manifolds of constant curvature
    Jiacheng Wan
    Zhenxiao Xie
    Annali di Matematica Pura ed Applicata (1923 -), 2023, 202 : 1369 - 1380
12345