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
  • [31] Ricci and Scalar Curvatures of Hemi-Slant Submanifolds in 3-Sasakian Space Forms
    Balgeshir, M. B. Kazemi
    Uddin, S.
    Ahmadsaryi, S. Tarighi
    JOURNAL OF MATHEMATICAL EXTENSION, 2021, 15 (04)
  • [32] The de Rham Cohomology Classes of Hemi-Slant Submanifolds in Locally Product Riemannian Manifolds
    Gok, Mustafa
    Kilic, Erol
    MATHEMATICS, 2024, 12 (11)
  • [33] SCREEN SLANT LIGHTLIKE SUBMANIFOLDS
    Sahin, Bayram
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2009, 2 (01): : 41 - 54
  • [34] Pointwise Hemi-Slant Riemannian Submersions
    Mehmet Akif Akyol
    Cem Sayar
    Ukrainian Mathematical Journal, 2024, 75 : 1473 - 1492
  • [35] Geometry of pointwise hemi-slant warped product submanifolds in para-contact manifolds
    Ayaz, Sedat
    Gunduzali, Yilmaz
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2025, 74 (01): : 117 - 129
  • [36] Pointwise Hemi-Slant Riemannian Submersions
    Akyol, Mehmet Akif
    Sayar, Cem
    UKRAINIAN MATHEMATICAL JOURNAL, 2024, 75 (10) : 1473 - 1492
  • [37] A note on conformal hemi-slant submersions
    Mohammad Shuaib
    Tanveer Fatima
    Afrika Matematika, 2023, 34
  • [38] A note on conformal hemi-slant submersions
    Shuaib, Mohammad
    Fatima, Tanveer
    AFRIKA MATEMATIKA, 2023, 34 (01)
  • [39] TOTALLY UMBILICAL CR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS
    Gogna, Manish
    Kumar, Rakesh
    Nagaich, R. K.
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 2 (04): : 54 - 61
  • [40] The axioms of indefinite hemi-slant planes and spheres
    Sachdeva R.
    Kumar R.
    Bhatia S.S.
    Lobachevskii Journal of Mathematics, 2017, 38 (1) : 125 - 130
12345