The Rigging Technique for Null Hypersurfaces
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 geo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-10-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/10/4/284 |
| _version_ | 1797506608845029376 |
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| author | Manuel Gutiérrez Benjamín Olea |
| author_facet | Manuel Gutiérrez Benjamín Olea |
| author_sort | Manuel Gutiérrez |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T04:35:58Z |
| format | Article |
| id | doaj.art-b0603f60cded4fa0af94e3e542a5ad63 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T04:35:58Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-b0603f60cded4fa0af94e3e542a5ad632023-11-23T03:49:31ZengMDPI AGAxioms2075-16802021-10-0110428410.3390/axioms10040284The Rigging Technique for Null HypersurfacesManuel Gutiérrez0Benjamín Olea1Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, 29071 Málaga, SpainDepartamento de Matemática Aplicada, Universidad de Málaga, 29071 Málaga, SpainStarting 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.https://www.mdpi.com/2075-1680/10/4/284Lorentzian manifoldnull hypersurfacerigging techniquerigged vector fieldnull cone |
| spellingShingle | Manuel Gutiérrez Benjamín Olea The Rigging Technique for Null Hypersurfaces Axioms Lorentzian manifold null hypersurface rigging technique rigged vector field null cone |
| title | The Rigging Technique for Null Hypersurfaces |
| title_full | The Rigging Technique for Null Hypersurfaces |
| title_fullStr | The Rigging Technique for Null Hypersurfaces |
| title_full_unstemmed | The Rigging Technique for Null Hypersurfaces |
| title_short | The Rigging Technique for Null Hypersurfaces |
| title_sort | rigging technique for null hypersurfaces |
| topic | Lorentzian manifold null hypersurface rigging technique rigged vector field null cone |
| url | https://www.mdpi.com/2075-1680/10/4/284 |
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