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

页码：429 / 442

页数：14

共 50 条

[21] LIGHTLIKE HYPERSURFACES OF AN INDEFINITE NEARLY KAEHLER MANIFOLD
Lee, Chul Woo
Jin, Dae Ho
Lee, Jae Won
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2024, 86 (01): : 77 - 86
[22] ASCREEN LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD
Jin, Dae Ho
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2013, 20 (01): : 25 - 35
[23] ON MAXIMAL SPACELIKE HYPERSURFACES IN A LORENTZIAN MANIFOLD
NISHIKAWA, S
NAGOYA MATHEMATICAL JOURNAL, 1984, 95 (SEP) : 117 - 124
[24] LIGHTLIKE HYPERSURFACES WITH PARALLEL SCREEN SHAPE OPERATOR
Harouna, Mahamane Mahi
Atindogbe, Cyriaque
Tossa, Joel
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2015, 8 (02): : 57 - 69
[25] Lightlike hypersurfaces on manifolds endowed with a conformal structure of Lorentzian signature
Akivis, MA
Goldberg, VV
ACTA APPLICANDAE MATHEMATICAE, 1999, 57 (03) : 255 - 285
[26] Lightlike Hypersurfaces on Manifolds Endowed with a Conformal Structure of Lorentzian Signature
Department of Mathematics, Jerusalem Coll. Technol. - Mahon Lev, P.O. Box 16031, Jerusalem 91160, Israel
不详
Acta Appl Math, 3 (255-285):
[27] 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
[28] Lightlike Hypersurfaces of a Golden Semi-Riemannian Manifold
Poyraz, Nergiz Onen
Yasar, Erol
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (05)
[29] Lightlike real hypersurfaces of indefinite quaternion Kaehler manifold
Bayram S˙ahin
Rifat Güne⋅
Journal of Geometry, 2002, 75 (1) : 151 - 165
[30] Lightlike Hypersurfaces of a Golden Semi-Riemannian Manifold
Nergiz Önen Poyraz
Erol Yaşar
Mediterranean Journal of Mathematics, 2017, 14

← 1 2 3 4 5 →