SCREEN ISOTROPIC LEAVES ON LIGHTLIKE HYPERSURFACES OF A LORENTZIAN MANIFOLD

被引：1
|
作者：
Gulbahar, Mehmet [1 ]
机构：
[1] Siirt Univ, Fac Sci & Art, Dept Math, Siirt, Turkey
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 02期
关键词：
isotropic immersion; lightlike hypersurface; Lorentzian manifold; IMMERSIONS;
D O I：
10.4134/BKMS.b151004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, screen isotropic leaves on lightlike hypersurfaces of a Lorentzian manifold are introduced and studied which are inspired by the definition of isotropic immersions in the Riemannian context. Some examples of such leaves are mentioned. Furthermore, some relations involving curvature invariants are obtained.
引用
收藏
页码：429 / 442
页数：14
相关论文
共 50 条
  • [1] SOME INEQUALITIES ON SCREEN HOMOTHETIC LIGHTLIKE HYPERSURFACES OF A LORENTZIAN MANIFOLD
    Gulbahar, Mehmet
    Kilic, Erol
    Keles, Sadik
    TAIWANESE JOURNAL OF MATHEMATICS, 2013, 17 (06): : 2083 - 2100
  • [2] Lightlike hypersurfaces of Lorentzian manifolds with distinguished screen
    Duggal, KL
    Giménez, A
    JOURNAL OF GEOMETRY AND PHYSICS, 2005, 55 (01) : 107 - 122
  • [3] CHEN INEQUALITIES ON LIGHTLIKE HYPERSURFACES OF A LORENTZIAN MANIFOLD WITH SEMI-SYMMETRIC NON-METRIC CONNECTION
    Poyraz, Nergiz
    HONAM MATHEMATICAL JOURNAL, 2022, 44 (03): : 339 - 359
  • [4] LIGHTLIKE HYPERSURFACES OF AN INDEFINITE STATISTICAL MANIFOLD
    Rani, Vandana
    Kaur, Jasleen
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2021, 20 (09): : 1995 - 2013
  • [5] LIGHTLIKE HYPERSURFACES OF AN INDEFINITE NEARLY KAEHLER MANIFOLD
    Lee, Chul Woo
    Jin, Dae Ho
    Lee, Jae Won
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2024, 86 (01): : 77 - 86
  • [6] LIGHTLIKE HYPERSURFACES WITH PARALLEL SCREEN SHAPE OPERATOR
    Harouna, Mahamane Mahi
    Atindogbe, Cyriaque
    Tossa, Joel
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2015, 8 (02): : 57 - 69
  • [7] Lightlike hypersurfaces on manifolds endowed with a conformal structure of Lorentzian signature
    Akivis, MA
    Goldberg, VV
    ACTA APPLICANDAE MATHEMATICAE, 1999, 57 (03) : 255 - 285
  • [8] Lightlike Hypersurfaces on Manifolds Endowed with a Conformal Structure of Lorentzian Signature
    Maks A. Akivis
    Vladislav V. Goldberg
    Acta Applicandae Mathematica, 1999, 57 : 255 - 285
  • [9] Lightlike Hypersurfaces of a Golden Semi-Riemannian Manifold
    Poyraz, Nergiz Onen
    Yasar, Erol
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (05)
  • [10] Lightlike Hypersurfaces of a Golden Semi-Riemannian Manifold
    Nergiz Önen Poyraz
    Erol Yaşar
    Mediterranean Journal of Mathematics, 2017, 14
12345