Totally umbilical hemi-slant lightlike submanifolds

被引：0
|
作者：
Sachdeva, Rashmi [1 ]
Kumar, Rakesh [2 ]
Bhatia, Satvinder Singh [1 ]
机构：
[1] Thapar Univ, Sch Math & Comp Applicat, Patiala, Punjab, India
[2] Punjabi Univ, Dept Basic & Appl Sci, Patiala, Punjab, India
来源：
NEW YORK JOURNAL OF MATHEMATICS | 2015年 / 21卷
关键词：
Indefinite Kaehler manifolds; hemi-slant lightlike submanifolds; totally umbilical lightlike submanifolds; minimal lightlike submanifolds; MANIFOLDS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study hemi-slant lightlike submanifolds of indefinite Kaehler manifolds and prove that there do not exist totally umbilical hemi-slant lightlike submanifolds in indefinite Kaehler manifolds other than totally geodesic hemi-slant lightlike submanifolds. We consequently prove that the induced connection of a totally umbilical hemi-slant lightlike submanifold is a metric connection. We obtain a characterization theorem on the nonexistence of totally umbilical hemi-slant lightlike submanifold of an indefinite complex space form and some characterization theorems on minimal hemi-slant lightlike submanifolds.
引用
收藏
页码：191 / 203
页数：13
相关论文
共 50 条
  • [1] Totally Umbilical Hemi-Slant Submanifolds of Kaehler Manifolds
    Al-Solamy, Falleh R.
    Khan, Meraj Ali
    Uddin, Siraj
    ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [2] Hemi-slant submanifolds of cosymplectic manifolds
    Lone, Mehraj Ahmad
    Lone, Mohamd Saleem
    Shahid, Mohammad Hasan
    COGENT MATHEMATICS, 2016, 3
  • [3] Pointwise quasi hemi-slant submanifolds
    Beyendi, Selahattin
    Akyol, Mehmet Akif
    Stankovic, Mica S.
    FILOMAT, 2023, 37 (01) : 127 - 138
  • [4] QUASI HEMI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS
    Prasad, Rajendra
    Verma, Sandeep Kumar
    Kumar, Sumeet
    Chaubey, Sudhakar K.
    KOREAN JOURNAL OF MATHEMATICS, 2020, 28 (02): : 257 - 273
  • [5] Hemi-slant submanifolds in metallic Riemannian manifolds
    Hretcanu, Cristina E.
    Blaga, Adara M.
    CARPATHIAN JOURNAL OF MATHEMATICS, 2019, 35 (01) : 59 - 68
  • [6] QUASI HEMI-SLANT SUBMANIFOLDS OF KAEHLER MANIFOLDS
    Prasad, Rajendra
    Shukla, S. S.
    Haseeb, Abdul
    Kumar, Sumeet
    HONAM MATHEMATICAL JOURNAL, 2020, 42 (04): : 795 - 809
  • [7] QUASI HEMI-SLANT SUBMANIFOLDS OF KENMOTSU MANIFOLDS
    Prasad, Rajendra
    Haseeb, Abdul
    Gupta, Pooja
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2022, 40 (3-4): : 475 - 490
  • [8] Quasi Hemi-Slant Submanifolds of Metallic Riemannian Manifolds
    Karmakar, Payel
    Bhattacharyya, Arindam
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2024, 94 (01) : 75 - 82
  • [9] HEMI-SLANT SUBMANIFOLDS OF A LOCALLY CONFORMAL KAHLER MANIFOLD
    Tastan, Hakan Mete
    Gerdan, Sibel
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2015, 8 (02): : 46 - 56
  • [10] Quasi Hemi-Slant Submanifolds of Metallic Riemannian Manifolds
    Payel Karmakar
    Arindam Bhattacharyya
    Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2024, 94 : 75 - 82
12345