Pseudo-slant submanifolds in cosymplectic space forms

被引：2
|
作者：
Dirik, Suleyman [1 ]
Atceken, Mehmet [2 ]
机构：
[1] Amasya Univ, Fac Arts & Sci, Dept Stat, Amasya, Turkey
[2] Gaziosmanpasa Univ, Fac Arts & Sci, Dept Math, Tokat, Turkey
来源：
ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA | 2016年 / 8卷 / 01期
关键词：
cosymplectic manifold; cosymplectic space form; pseudo-slant submanifold;
D O I：
10.1515/ausm-2016-0004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the geometry of the pseudo-slant submanifolds of a cosymplectic space form. Necessary and sufficient conditions are given for a submanifold to be a pseudo-slant submanifold, pseudo-slant product, mixed geodesic and totally geodesic in cosymplectic manifolds. Finally, we give some results for totally umbilical pseudo slant submanifold in a cosymplectic manifold and cosymplectic space form.
引用
收藏
页码：53 / 74
页数：22
相关论文
共 50 条
  • [1] On the Geometry of Pseudo-Slant Submanifolds of a Cosymplectic Manifold
    Dirik, Suleyman
    Atceken, Mehmet
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2016, 9 (01): : 45 - 56
  • [2] Warped Product Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold
    Uddin, Siraj
    Wong, Bernardine R.
    Mustafa, A. A.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [3] An inequality for warped product pseudo-slant submanifolds of nearly cosymplectic manifolds
    Falleh R Al-Solamy
    Journal of Inequalities and Applications, 2015
  • [4] An inequality for warped product pseudo-slant submanifolds of nearly cosymplectic manifolds
    Al-Solamy, Falleh R.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [5] On Pseudo-Slant Submanifolds of a Sasakian Space Form
    Dirika, Suleyman
    Atceken, Mehmet
    Yildirim, Umit
    FILOMAT, 2017, 31 (19) : 5909 - 5919
  • [6] Shape operator of slant submanifolds in cosymplectic space forms
    Liu, X
    Su, W
    STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2005, 42 (04) : 387 - 400
  • [7] Estimation of eigenvalues for the α-Laplace operator on pseudo-slant submanifolds of generalized Sasakian space forms
    Khan, Meraj Ali
    Alkhaldi, Ali H.
    Aquib, Mohd
    AIMS MATHEMATICS, 2022, 7 (09): : 16054 - 16066
  • [8] Pseudo-slant submanifolds of a Sasakian manifold
    Khan, V. A.
    Khan, M. A.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2007, 38 (01): : 31 - 42
  • [9] Slant and pseudo-slant submanifolds in LCS-manifolds
    Atceken, Mehmet
    Hui, Shyamal Kumar
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2013, 63 (01) : 177 - 190
  • [10] Slant and pseudo-slant submanifolds in LCS-manifolds
    Mehmet Atçeken
    Shyamal Kumar Hui
    Czechoslovak Mathematical Journal, 2013, 63 : 177 - 190
12345