On a Sequence of Slant Submanifolds in Almost Product Riemannian Setting

被引:0
|
作者
Blaga, Adara M. [1 ]
机构
[1] West Univ Timisoara, Fac Math & Comp Sci, Dept Math, Timisoara 300223, Romania
来源
关键词
Pointwise slant submanifold; almost product Riemannian manifold; anti-invariant submanifold;
D O I
10.36890/IEJG.1321401
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that the property of being pointwise slant is transitive on a class of proper pointwise slant submanifolds of almost product Riemannian manifolds, and we illustrate this fact with an example. For a given almost product Riemannian manifold, we consider a sequence of pointwise slant immersed submanifolds and we explicitly determine the relation between the slant functions. Moreover, we state this result in a more general case.
引用
收藏
页码:594 / 597
页数:4
相关论文
共 50 条
  • [21] SLANT SUBMANIFOLDS OF SEMI-RIEMANNIAN MANIFOLDS
    Aydin, Gulsah
    Coken, A. Ceylan
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2013, 10 (10)
  • [22] Warped Product Semi-Invariant Submanifolds in Almost Paracontact Riemannian Manifolds
    Atceken, Mehmet
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2009, 2009
  • [23] Slant submanifolds of Lorentzian almost contact manifolds
    Singh, Khushwant
    Uddin, Siraj
    Bhatia, S. S.
    Khan, M. A.
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2012, 39 (02): : 237 - 243
  • [24] Pointwise slant submanifolds in almost Hermitian manifolds
    Chen, Bang-Yen
    Garay, Oscar J.
    TURKISH JOURNAL OF MATHEMATICS, 2012, 36 (04) : 630 - 640
  • [25] Hemi-slant submanifolds in metallic Riemannian manifolds
    Hretcanu, Cristina E.
    Blaga, Adara M.
    CARPATHIAN JOURNAL OF MATHEMATICS, 2019, 35 (01) : 59 - 68
  • [26] SUBMANIFOLDS OF PRODUCT RIEMANNIAN MANIFOLD
    徐森林
    倪轶龙
    Acta Mathematica Scientia, 2000, (02) : 213 - 218
  • [27] Submanifolds of product Riemannian manifold
    Xu, SL
    Ni, YL
    ACTA MATHEMATICA SCIENTIA, 2000, 20 (02) : 213 - 218
  • [28] Slant submanifolds of Kaehler product manifolds
    Sahin, Bayram
    Keles, Sadik
    TURKISH JOURNAL OF MATHEMATICS, 2007, 31 (01) : 65 - 77
  • [29] SOME TYPES OF SLANT SUBMANIFOLDS OF BRONZE RIEMANNIAN MANIFOLDS
    Acet, Bilal Eftal
    Acet, Tuba
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2022, 29 (04): : 277 - 291
  • [30] The de Rham Cohomology Classes of Hemi-Slant Submanifolds in Locally Product Riemannian Manifolds
    Gok, Mustafa
    Kilic, Erol
    MATHEMATICS, 2024, 12 (11)