Abstract
Starting from the main definitions, we review the rigging technique for null hypersurfaces theory and most of its main properties. We make some applications to illustrate it. On the one hand, we show how we can use it to show properties of null hypersurfaces, with emphasis in null cones, totally geodesic, totally umbilic, and compact null hypersurfaces. On the other hand, we show the interplay with the ambient space, including its influence in causality theory.
Funder
Universidad de Málaga
Ministry of Sciences and Innovation (MICINN) I+D+I,
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. On the existence of sections with constant surface gravity on null hypersurfaces;Journal of Mathematical Analysis and Applications;2024-09
2. On the regularity of null cones and geodesic spheres;Analysis and Mathematical Physics;2023-03-11
3. A Curvature Inequality Characterizing Totally Geodesic Null Hypersurfaces;Mediterranean Journal of Mathematics;2023-01-17
4. Statistical structures arising in null submanifolds;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2022-12-22