洛伦兹流形中的紧致零超曲面

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2021-04-01 DOI:10.1515/advgeom-2021-0001

C. Atindogbe, M. Gutiérrez, R. Hounnonkpe

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引用次数: 4

摘要

摘要我们展示了洛伦兹流形中零超曲面族的拓扑和几何性质如何与环境流形本身的性质相关。特别地，我们关注全局对称性和曲率条件的存在如何限制紧致零超曲面的存在。我们用这些结果证明了对非全测地线的紧致全脐零超曲面存在性的影响。最后，我们描述了它们在因果关系理论中施加的限制。

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Compact null hypersurfaces in Lorentzian manifolds

Abstract We show how the topological and geometric properties of the family of null hypersurfaces in a Lorentzian manifold are related with the properties of the ambient manifold itself. In particular, we focus in how the presence of global symmetries and curvature conditions restrict the existence of compact null hypersurfaces. We use these results to show the influence on the existence of compact totally umbilic null hypersurfaceswhich are not totally geodesic. Finally we describe the restrictions that they impose in causality theory.

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.