Some characterizations of anti-invariant submanifolds of trans-sasakian manifolds

被引：0
|
作者：
Sarkar, A. [1 ]
Bhakta, Pradip [1 ]
Sen, Matilal [2 ]
机构：
[1] Univ Kalyani, Dept Math, Kalyani 741235, W Bengal, India
[2] Saldiha Coll Saldiha, Dept Math, Bankura 722173, W Bengal, India
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2021年 / 14卷 / 09期
关键词：
Trans-Sasakian manifolds; second fundamental form; recurrent; anti-invariant submanifold; totally geodesic; totally umbilical; LEGENDRE CURVES; CONTACT;
D O I：
10.1142/S1793557121501679
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The object of this paper is to study anti-invariant submanifolds of trans-Sasakian manifolds. We characterize such submanifolds on the basis of parallelism, semi-parallelism and pseudo parallelism of the second fundamental form of the submanifolds. We also characterize totally umbilical anti-invariant submanifolds of trans-Sasakian manifolds. Existence of Legendre curves on such submanifolds has been analyzed. Whether an anti-invariant submanifold of a trans-Sasakian manifold inherits local symmetry from ambient space is investigated here. Nature of Ricci soliton on anti-invariant submanifolds of trans-Sasakian manifolds has been characterized.
引用
收藏
页数：15
相关论文
共 50 条
  • [1] On invariant submanifolds of trans-Sasakian manifolds
    Sarkar, Avijit
    Sen, Matilal
    [J]. PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2012, 61 (01) : 29 - 37
  • [2] Invariant Submanifolds of Trans-Sasakian Manifolds
    C. S. Bagewadi
    B. S. Anitha
    [J]. Ukrainian Mathematical Journal, 2016, 67 : 1469 - 1483
  • [3] Invariant Submanifolds of Trans-Sasakian Manifolds
    Bagewadi, C. S.
    Anitha, B. S.
    [J]. UKRAINIAN MATHEMATICAL JOURNAL, 2016, 67 (10) : 1469 - 1483
  • [4] Clairaut anti-invariant Riemannian maps to trans-Sasakian manifolds
    Zaidi, Adeeba
    Shanker, Gauree
    [J]. FILOMAT, 2024, 38 (11) : 3777 - 3789
  • [5] A Note on Invariant Submanifolds of Trans-Sasakian Manifolds
    Hu, Chaogui
    Wang, Yaning
    [J]. INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2016, 9 (02): : 27 - 35
  • [6] Invariant and anti-invariant submanifolds of special quasi-sasakian manifolds
    Hui S.K.
    Roy J.
    [J]. Journal of Geometry, 2018, 109 (2)
  • [7] INVARIANT SUBMANIFOLDS OF A TRANS-SASAKIAN MANIFOLD
    CHINEA, D
    PERESTELO, PS
    [J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 1991, 38 (1-2): : 103 - 109
  • [8] CURVATURE TENSORS AND RICCI SOLITONS WITH RESPECT TO ZAMKOVOY CONNECTION IN ANTI-INVARIANT SUBMANIFOLDS OF TRANS-SASAKIAN MANIFOLD
    Karmakar, Payel
    [J]. MATHEMATICA BOHEMICA, 2022, 147 (03): : 419 - 434
  • [9] SOME CHARACTERIZATIONS OF PROPERTY OF TRANS-SASAKIAN 3-MANIFOLDS
    Zhao, Yan
    [J]. MATHEMATICA SLOVACA, 2021, 71 (02) : 383 - 390
  • [10] CR-SUBMANIFOLDS OF TRANS-SASAKIAN MANIFOLDS
    PRASAD, S
    OJHA, RH
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1993, 24 (7-8): : 427 - 434
12345