CHARACTERIZATION OF GCR-LIGHTLIKE WARPED PRODUCT OF INDEFINITE KENMOTSU MANIFOLDS

被引:0
|
作者
Kumar, Rakesh [1 ]
机构
[1] Punjabi Univ, Univ Coll Engn, Patiala, Punjab, India
来源
MATEMATICKI VESNIK | 2013年 / 65卷 / 04期
关键词
GCR-lightlike submanifold; GCR-lightlike product; GCR-lightlike warped product submanifold; indefinite Kenmotsu manifold;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we prove that there do not exist warped product GCR-lightlike submanifolds in the form M = N-T x(lambda) N-T such that N-T is an anti-invariant submanifold tangent to V and N-T an invariant submanifold of <(M)overbar)>, other than GCR-lightlike product in an indefinite Kenmotsu manifold. We also obtain some characterizations for a GCR-lightlike submanifold to be locally a GCR-lightlike warped product.
引用
收藏
页码:533 / 546
页数:14
相关论文
共 50 条
  • [31] A class of warped product submanifolds of Kenmotsu manifolds
    Hui, Shyamal Kumar
    Stankovic, Mica S.
    Roy, Joydeb
    Pal, Tanumoy
    TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (03) : 760 - 777
  • [32] Generalised Cauchy-Riemann Lightlike Submanifolds of Indefinite Kenmotsu Manifolds
    Gupta, Ram Shankar
    Sharfuddin, A.
    NOTE DI MATEMATICA, 2010, 30 (02): : 49 - 59
  • [33] Some characterization theorems on holomorphic sectional curvature of GCR-lightlike submanifolds
    Jain, Varun
    Rani, Rachna
    Kumar, Rakesh
    Nagaich, R. K.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2017, 14 (03)
  • [34] Another class of warped product submanifolds of Kenmotsu manifolds
    Uddin, Siraj
    Naghi, Monia Fouad
    Al-Solamy, Falleh Rijaullah
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2018, 112 (04) : 1141 - 1155
  • [35] Warped Product Submanifolds of Kenmotsu Manifolds with Slant Fiber
    Naghi, Monia Fouad
    Uddin, Siraj
    Al-Solamy, Falleh R.
    FILOMAT, 2018, 32 (06) : 2115 - 2126
  • [36] Characterization Theorems on Warped Product Semi-Slant Submanifolds in Kenmotsu Manifolds
    Ali, Akram
    Uddin, Siraj
    Alkhaldi, Ali H.
    FILOMAT, 2019, 33 (13) : 4033 - 4043
  • [37] Another class of warped product submanifolds of Kenmotsu manifolds
    Siraj Uddin
    Monia Fouad Naghi
    Falleh Rijaullah Al-Solamy
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018, 112 : 1141 - 1155
  • [38] The curvatures of lightlike hypersurfaces of an indefinite Kenmotsu manifold
    Jin, Dae Ho
    BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS, 2012, 17 (01): : 49 - 57
  • [39] TWO CHARACTERIZATION THEOREMS FOR HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KENMOTSU MANIFOLD
    Jin, Dae Ho
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2014, 21 (01): : 1 - 10
  • [40] Bi-warped product submanifolds of Kenmotsu manifolds and their applications
    Uddin, Siraj
    Alkhaldi, Ali H.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2019, 16 (01)