Null hypersurfaces as wave fronts in Lorentz-Minkowski space
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2022
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914830166786048 |
|---|---|
| author | Akamine, Shintaro Honda, Atsufumi Umehara, Masaaki Yamada, Kotaro |
| author_facet | Akamine, Shintaro Honda, Atsufumi Umehara, Masaaki Yamada, Kotaro |
| contents | In this paper, we show that ``$L$-complete null hypersurfaces'' (i.e. ruled hypersurfaces foliated by entirety of light-like lines) as wave fronts in the $(n+1)$-dimensional Lorentz-Minkowski space are canonically induced by hypersurfaces in the $n$-dimensional Euclidean space. As an application, we show that most of null wave fronts can be realized as restrictions of certain $L$-complete null wave fronts. Moreover, we determine $L$-complete null wave fronts whose singular sets are compact. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_02864 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Null hypersurfaces as wave fronts in Lorentz-Minkowski space Akamine, Shintaro Honda, Atsufumi Umehara, Masaaki Yamada, Kotaro Differential Geometry Primary 53C50, Secondary 53C42, 53B30 In this paper, we show that ``$L$-complete null hypersurfaces'' (i.e. ruled hypersurfaces foliated by entirety of light-like lines) as wave fronts in the $(n+1)$-dimensional Lorentz-Minkowski space are canonically induced by hypersurfaces in the $n$-dimensional Euclidean space. As an application, we show that most of null wave fronts can be realized as restrictions of certain $L$-complete null wave fronts. Moreover, we determine $L$-complete null wave fronts whose singular sets are compact. |
| title | Null hypersurfaces as wave fronts in Lorentz-Minkowski space |
| topic | Differential Geometry Primary 53C50, Secondary 53C42, 53B30 |
| url | https://arxiv.org/abs/2203.02864 |