δ-Almost Ricci soliton on 3-dimensional trans-Sasakian manifold

被引:0
|
作者
Acet, T. [1 ]
机构
[1] Inonu Univ, Fac Arts & Sci, Dept Math, Malatya, Turkiye
关键词
Ricci soliton; S-almost Ricci soliton; trans-Sasakian manifold;
D O I
10.15330/cmp.16.2.558-564
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we consider S-almost Ricci soliton on 3-dimensional trans-Sasakian manifold admitting rl-parallel Ricci tensor. We give some conditions for P p = 0, P S = 0, Q P = 0. Also, we show that there is almost pseudo symmetric S-almost Ricci soliton on 3-dimensional trans-Sasakian manifold admitting cyclic Ricci tensor. Finally, we give an example for verifying the obtained results.
引用
收藏
页码:558 / 564
页数:7
相关论文
共 50 条
  • [41] Generalised CR-submamifolds of a trans-Sasakian manifold
    Sengupta, AK
    De, UC
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2001, 32 (04): : 573 - 580
  • [42] SASAKIAN 3-MANIFOLD AS A RICCI SOLITON REPRESENTS THE HEISENBERG GROUP
    Sharma, Ramesh
    Ghosh, Amalendu
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2011, 8 (01) : 149 - 154
  • [43] HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD
    Jin, Dae Ho
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (04) : 979 - 994
  • [44] RICCI SOLITON AND RICCI ALMOST SOLITON WITHIN THE FRAMEWORK OF KENMOTSU MANIFOLD
    Ghosh, A.
    CARPATHIAN MATHEMATICAL PUBLICATIONS, 2019, 11 (01) : 59 - 69
  • [45] Geometry of η-Ricci Yamabe Soliton on Nearly Sasakian Manifold
    Alloush, Khaled A. A.
    Rajendra, R.
    Reddy, P. Siva Kota
    Pavani, N.
    Somashekhara, G.
    Shivaprasanna, G. S.
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2025, 43
  • [46] Trans-Sasakian 3-Manifolds with Reeb Flow Invariant Ricci Operator
    Zhao, Yan
    Wang, Wenjie
    Liu, Ximin
    MATHEMATICS, 2018, 6 (11):
  • [47] Trans-Sasakian 3-manifolds with Einstein-like Ricci operators
    Wang, Wenjie
    QUAESTIONES MATHEMATICAE, 2022, 45 (09) : 1473 - 1483
  • [48] A Conformal η-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold
    Li, Yanlin
    Mallick, Arup Kumar
    Bhattacharyya, Arindam
    Stankovic, Mica S.
    AXIOMS, 2024, 13 (11)
  • [49] A 3-DIMENSIONAL SASAKIAN METRIC AS A YAMABE SOLITON
    Sharma, Ramesh
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2012, 9 (04)
  • [50] CR-SUBMANIFOLDS OF A TRANS-SASAKIAN MANIFOLD .2.
    SHAHID, MH
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1994, 25 (03): : 299 - 307