Screen Semi-Slant Lightlike Submanifolds of Indefinite Kaehler Manifolds

被引:0
|
作者
Shukla, Shiv Sharma [1 ]
Yadav, Akhilesh [2 ]
机构
[1] Univ Allahabad, Dept Math, Allahabad 211002, Uttar Pradesh, India
[2] Banaras Hindu Univ, Dept Math, Varanasi 221005, Uttar Pradesh, India
来源
THAI JOURNAL OF MATHEMATICS | 2021年 / 19卷 / 02期
关键词
semi-Riemannian manifold; degenerate metric; radical distribution; screen distribution; screen transversal vector bundle; lightlike transversal vector bundle; Gauss and Weingarten formulae;
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 introduce the notion of screen semi-slant lightlike submanifolds of indefinite Kaehler manifolds giving characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D-1, D-2 and RadTM on screen semi-slant lightlike submanifolds of an indefinite Kaehler manifold have been obtained. Further we obtain necessary and sufficient conditions for foliations determined by above distributions to be totally geodesic. We also study mixed geodesic screen semi-slant lightlike submanifolds of indefinite Kaehler manifolds.
引用
收藏
页码:421 / 430
页数:10
相关论文
共 50 条
  • [21] Radical Screen Transversal Slant Lightlike Submanfolds of Indefinite Kaehler Manifolds
    Thakur, Mamta
    Advin
    Haider, S. M. K.
    FILOMAT, 2020, 34 (06) : 2037 - 2046
  • [22] Geometry of Warped Product Semi-Slant Submanifolds of Nearly Kaehler Manifolds
    Al-Solamy, Falleh Rijaullah
    Khan, Viqar Azam
    Uddin, Siraj
    RESULTS IN MATHEMATICS, 2017, 71 (3-4) : 783 - 799
  • [23] Geometry of Warped Product Semi-Slant Submanifolds of Nearly Kaehler Manifolds
    Falleh Rijaullah Al-Solamy
    Viqar Azam Khan
    Siraj Uddin
    Results in Mathematics, 2017, 71 : 783 - 799
  • [24] Geometry of Warped Product Pointwise Semi-Slant Submanifolds of Kaehler Manifolds
    Ali, Akram
    Uddin, Siraj
    Othman, Wan Ainun Mior
    FILOMAT, 2017, 31 (12) : 3771 - 3788
  • [25] Warped product pointwise semi-slant submanifolds of nearly Kaehler manifolds
    Bossly, Rawan
    Alqahtani, Lamia Saeed
    FILOMAT, 2024, 38 (05) : 1729 - 1736
  • [26] Screen Pseudo-Slant Lightlike Submanifolds of Indefinite Sasakian Manifolds
    S. S. Shukla
    Akhilesh Yadav
    Mediterranean Journal of Mathematics, 2016, 13 : 789 - 802
  • [27] Screen Pseudo-Slant Lightlike Submanifolds of Indefinite Sasakian Manifolds
    Shukla, S. S.
    Yadav, Akhilesh
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (02) : 789 - 802
  • [28] Semi-slant submanifolds of a nearly Kaehler manifold
    Khan, Viqar Azarn
    Khan, Meraj Ali
    TURKISH JOURNAL OF MATHEMATICS, 2007, 31 (04) : 341 - 353
  • [29] Slant Lightlike Submanifolds of Indefinite Cosymplectic Manifolds
    Ram Shankar Gupta
    Abhitosh Upadhyay
    A. Sharfuddin
    Mediterranean Journal of Mathematics, 2011, 8 : 215 - 227
  • [30] Slant Lightlike Submanifolds of Indefinite Cosymplectic Manifolds
    Gupta, Ram Shankar
    Upadhyay, Abhitosh
    Sharfuddin, A.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2011, 8 (02) : 215 - 227