QUAISI INVARIANT CONHARMONIC TENSOR OF SPECIAL CLASSES OF LOCALLY CONFORMAL ALMOST COSYMPLECTIC MANIFOLD

被引:0
作者
Al-Hussaini, F. H. [1 ]
Abood, H. M. [1 ]
机构
[1] Univ Basrah, Basrah, Iraq
来源
VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI | 2020年 / 30卷 / 02期
关键词
locally conformal almost cosymplectic manifold; conharmonic curvature tensor; Phi-quaisi invariant; conharmonically Phi-paracontact; CURVATURE TENSOR; GEOMETRY;
D O I
10.35634/vm200201
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The authors classified a locally conformal almost cosymplectic manifold (LCACS-manifold) according to the conharmonic curvature tensor. In particular, they have determined the necessary conditions for a conharmonic curvature tensor on the LCACS-manifold of classes CTi, i = 1, 2, 3 to be Phi-quaisi invariant. Moreover, it has been proved that any LCACS-manifold of the class CT1 is conharmoniclly Phi-paracontact.
引用
收藏
页码:147 / 157
页数:11
相关论文
共 19 条
  • [1] ON THE CONHARMONIC CURVATURE TENSOR OF A LOCALLY CONFORMAL ALMOST COSYMPLECTIC MANIFOLD
    Abood, Habeeb M.
    Al-Hussaini, Farah H.
    [J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 35 (01): : 269 - 278
  • [2] Constant Curvature of A Locally Conformal Almost Cosymplectic Manifold
    Abood, Habeeb M.
    Al-Hussaini, Farah Hassan
    [J]. INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2018), 2019, 2086
  • [3] Locally Conformal Almost Cosymplectic Manifold of Phi-holomorphic Sectional Conharmonic Curvature Tensor
    Abood, Habeeb M.
    Al-Hussaini, Farah Hassan J.
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, 11 (03): : 671 - 681
  • [4] Asghari N, 2014, THAI J MATH, V12, P525
  • [5] Blair D.E., 2010, RIEMANNIAN GEOMETRY, DOI [10.1007/978-0-8176-4959-3, DOI 10.1007/978-0-8176-4959-3]
  • [6] Blair DE, 1967, J DIFFER GEOM, V1, P331, DOI 10.4310/jdg/1214428097
  • [7] Cartan E., 2002, RIEMANNIAN GEOMETRY
  • [8] Chanyal S. K., 2016, AN STIINT U AL CUZA, V2, P681
  • [9] Chinea D., 1992, Rev. Roum. Math. Pures Appl., V37, P199
  • [10] Dwivedi MK, 2011, B MALAYS MATH SCI SO, V34, P171