ON THE PSEUDO - PROJECTIVE TENSOR OF NEARLY COSYMPLECTIC MANIFOLD

被引：0
|
作者：
Mohammed, N. J. [1 ]
Abood, H. M. [2 ]
机构：
[1] Minist Educ, Basra Educ Directorate, Basrah, Iraq
[2] Univ Basrah, Dept Math, Basrah, Iraq
来源：
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS | 2022年 / 15卷 / 3A期
关键词：
Nearly cosymplectic manifold; pseudo-projective tensor; Einstein space;
D O I：
10.47013/15.3.7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The authors focused on the geometry of the pseudo projectively tensor of nearly cosymplectic manifold. In particular, it has established that the scalar curvature tensor of the aforementioned manifold is constant. Moreover, under the flatness property, the necessary condition for the nearly cosymplectic manifold to be an Einstein space, has been determined.
引用
收藏
页码：497 / 506
页数：10
相关论文
共 50 条
  • [31] Concircular curvature tensor of nearly cosymplectic manifolds in terms of the generalized Tanaka-Webster connection
    Ayara, Gulhan
    Aktanb, Nesip
    Madana, Cagatay
    FILOMAT, 2024, 38 (09) : 3011 - 3020
  • [32] Locally Conformal Almost Cosymplectic Manifold of Phi-holomorphic Sectional Conharmonic Curvature Tensor
    Abood, Habeeb M.
    Al-Hussaini, Farah Hassan J.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, 11 (03): : 671 - 681
  • [33] CONNECTIONS COMPATIBLE WITH NEARLY COSYMPLECTIC AND CONFORM-NEAR COSYMPLECTIC STRUCTURES
    MIRON, R
    OPROIU, V
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1969, 268 (08): : 451 - &
  • [34] SOME NOTES ON NEARLY COSYMPLECTIC MANIFOLDS
    Yildirim, Mustafa
    Beyendi, Selahattin
    HONAM MATHEMATICAL JOURNAL, 2021, 43 (03): : 539 - 545
  • [35] A Note on Nearly Hyperbolic Cosymplectic Manifolds
    Karadag, Muge
    JOURNAL OF POLYTECHNIC-POLITEKNIK DERGISI, 2020, 23 (04): : 1403 - 1406
  • [36] *-Ricci Tensor on α-Cosymplectic Manifolds
    Amruthalakshmi, M. R.
    Prakasha, D. G.
    Bin Turki, Nasser
    Unal, Inan
    ADVANCES IN MATHEMATICAL PHYSICS, 2022, 2022
  • [37] On the splitting of weak nearly cosymplectic manifolds
    Rovenski, Vladimir
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2024, 94
  • [38] Nearly cosymplectic manifolds with nullity conditions
    Yildirim, Mustafa
    Ayar, Gulhan
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (06)
  • [39] Nearly Cosymplectic Manifolds of Constant Type
    Rustanov, Aligadzhi
    AXIOMS, 2022, 11 (04)
  • [40] AN EXAMPLE OF AN ALMOST COSYMPLECTIC HOMOGENEOUS MANIFOLD
    CHINEA, D
    GONZALEZ, C
    LECTURE NOTES IN MATHEMATICS, 1986, 1209 : 133 - 142
12345