允许仿射共形向量场的半Riemanman流形中的类光超曲面

IF 1 Q1 MATHEMATICS

Kragujevac Journal of Mathematics Pub Date : 2023-04-01 DOI:10.46793/kgjmat2302.297s

S. Ssekajja

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引用次数: 0

摘要

对于类光几何而言，具有可积屏分布的类光超曲面是非常重要的。其中包括屏幕保形和屏幕全脐。在本文中，我们证明了半黎曼流形的任何类光超曲面都具有可积的屏蔽分布。提供了几个例子来支持主要结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Lightlike Hypersurfaces in Semi-Riemmanian Manifolds Admitting Affine Conformal Vector Fields

Lightlike hypersurfaces with integrable screen distributions are very important as far as lightlike geometry is concerned. They include, among others, screen conformal and screen totally umbilic ones. In this paper, we show that any lightlike hypersurface of a semi-Riemannian manifold admitting a certain closed aﬃne conformal vector ﬁeld has an integrable screen distribution. Several examples are furnished in support of the main results.

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来源期刊

Kragujevac Journal of Mathematics MATHEMATICS-

CiteScore

2.50

自引率

0.00%

发文量