The Geometry of Contact Pseudo-Slant Submanifolds of a Sasakian Manifold

被引:0
作者
Yildirim, Umit [1 ]
机构
[1] Gaziosmanpasa Univ, Dept Math, TR-60100 Tokat, Turkey
关键词
Sasakian manifold; contact pseudo-slant submanifold; contact pseudo-slant product;
D O I
10.2298/FIL1917551Y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the geometry of the contact pseudo-slant submanifolds of a Sasakian manifold. We verify some properties of the components of the tensor field acting on that kind of submanifold and find out the necessary and sufficient conditions for them to be parallel. Also, necessary and sufficient conditions are given for a submanifold to be a pseudo-slant submanifold, contact pseudo-slant product, D-theta, D-perpendicular to and mixed-geodesic in Sasakian manifold.
引用
收藏
页码:5551 / 5559
页数:9
相关论文
共 17 条
  • [1] Some inequalities for warped product pseudo-slant submanifolds of nearly Kenmotsu manifolds
    Ali, Akram
    Othman, Wan Ainun Mior
    Ozel, Cenap
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [2] Atceken M., 2014, Gulf journal of Mathematics, V2, P51
  • [3] Atceken M., 2015, SERDICA MATH J, V41, P243
  • [4] Slant and pseudo-slant submanifolds in LCS-manifolds
    Atceken, Mehmet
    Hui, Shyamal Kumar
    [J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2013, 63 (01) : 177 - 190
  • [5] Slant submanifolds in Sasakian manifolds
    Cabrerizo, JL
    Carriazo, A
    Fernández, LM
    Fernández, M
    [J]. GLASGOW MATHEMATICAL JOURNAL, 2000, 42 : 125 - 138
  • [6] Carriazo A., 2000, P ICRAMS 2000 KHAR I, P88
  • [7] Chen B. - Y., 1990, GEOMETRY SLANT SUBMA
  • [8] SLANT IMMERSIONS
    CHEN, BY
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1990, 41 (01) : 135 - 147
  • [9] On pseudo-slant submanifolds of trans-Sasakian manifolds
    De, Uday Chand
    Sarkar, Avijit
    [J]. PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2011, 60 (01) : 1 - 11
  • [10] Dirik S, 2016, INT ELECTRON J GEOM, V9, P45