A classification of Einstein lightlike hypersurfaces of a Lorentzian space form

被引：15

作者：

Duggal, K. L. ^{[1
]}

Jin, D. H. ^{[2
]}

机构：

[1] Univ Windsor, Dept Math, Windsor, ON N9B 3P4, Canada

[2] Dongguk Univ, Dept Math, Kyongju 780714, South Korea

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2010年 / 60卷 / 12期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Lightlike hypersurfaces; Screen distribution; Lorentzian space forms; Einstein manifolds; CURVATURE; GEOMETRY;

D O I：

10.1016/j.geomphys.2010.07.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study Einstein lightlike hypersurfaces of a semi-Riemannian manifold of constant curvature c, whose shape operator is conformal to the shape operator of its screen distribution. Our main result is a classification theorem for Einstein lightlike hypersurfaces of Lorentzian space forms. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1881 / 1889

页数：9

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