LIGHTLIKE SUBMANIFOLDS OF INDEFINITE PARA-SASAKIAN MANIFOLDS

被引：0
|
作者：
Shukla, S. S. [1 ]
Yadav, Akhilesh [1 ]
机构：
[1] Univ Allahabad, Dept Math, Allahabad 211002, Uttar Pradesh, India
来源：
MATEMATICKI VESNIK | 2014年 / 66卷 / 04期
关键词：
Semi-Riemannian manifold; degenerate metric; radical distribution; screen distribution; screen transversal vector bundle; Gauss and Weingarten formulae; totally geodesic and totally umbilical lightlike submanifold;
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 study invariant, slant and screen slant lightlike submanifolds of indefinite para-Sasakian manifolds. We obtain necessary and sufficient conditions for existence of slant and screen slant lightlike submanifolds of indefinite para-Sasakian manifolds and also provide non-trivial examples of such submanifolds. We obtain integrability conditions of distributions D and RadTM on screen slant lightlike submanifolds of indefinite para-Sasakian manifold. Further we obtain sufficient condition for induced connection on screen slant lightlike submanifolds of indefinite para-Sasakian manifold to be metric connection.
引用
收藏
页码：371 / 386
页数：16
相关论文
共 50 条
  • [31] SCREEN SLANT RADICAL TRANSVERSAL NULL SUBMANIFOLDS OF PARA-SASAKIAN MANIFOLDS
    Acet, Bilal Eftal
    Yuksel Perktas, Selcen
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2016, 31 (02): : 543 - 557
  • [32] LIGHTLIKE SUBMANIFOLDS OF INDEFINITE COSYMPLECTIC MANIFOLDS
    Gupta, R. S.
    Upadhyay, A.
    Sharfuddin, A.
    ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2012, 58 (01): : 157 - 180
  • [33] NON EXISTENCE OF TOTALLY CONTACT UMBILICAL SLANT LIGHTLIKE SUBMANIFOLDS OF INDEFINITE SASAKIAN MANIFOLDS
    Sachdeva, R.
    Kumar, R.
    Bhatia, S. Singh
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2014, 40 (05) : 1135 - 1151
  • [34] Contact screen transversal Cauchy-Riemann lightlike submanifolds of indefinite Sasakian manifolds
    Poyraz, Nergiz
    FILOMAT, 2023, 37 (16) : 5427 - 5441
  • [35] Radical Transversal Screen Semi-Slant Lightlike Submanifolds of Indefinite Sasakian Manifolds
    Shukla, S. S.
    Yadav, Akhilesh
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2015, 36 (02) : 160 - 168
  • [36] SPECIAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD
    Jin, Dae Ho
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 29 (01): : 109 - 121
  • [37] TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE SASAKIAN MANIFOLD
    Jin, Dae Ho
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2011, 18 (01): : 51 - 61
  • [38] On lightlike geometry of indefinite Sasakian statistical manifolds
    Bahadir, Oguzhan
    AIMS MATHEMATICS, 2021, 6 (11): : 12845 - 12862
  • [39] HYPERSURFACES OF LORENTZIAN PARA-SASAKIAN MANIFOLDS
    Perktas, Selcen Yuksel
    Kilic, Erol
    Keles, Sadik
    MATHEMATICA SCANDINAVICA, 2011, 109 (01) : 5 - 21
  • [40] ON A TYPE OF LORENTZIAN PARA-SASAKIAN MANIFOLDS
    Yildiz, Ahmet
    De, Uday Chand
    Ata, Erhan
    MATHEMATICAL REPORTS, 2014, 16 (01): : 61 - 67
12345