On completeness and dynamics of compact Brinkmann spacetimes
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916659705413632 |
|---|---|
| author | Mehidi, Lilia Zeghib, Abdelghani |
| author_facet | Mehidi, Lilia Zeghib, Abdelghani |
| contents | Brinkmann Lorentz manifolds are those admitting an isotropic parallel vector field. We prove geodesic completeness of the compact and also compactly homogeneous Brinkmann spaces. We also prove, partially, that their parallel vector field generates an equicontinuous flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_07243 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On completeness and dynamics of compact Brinkmann spacetimes Mehidi, Lilia Zeghib, Abdelghani Differential Geometry 53C50, 53B30 Brinkmann Lorentz manifolds are those admitting an isotropic parallel vector field. We prove geodesic completeness of the compact and also compactly homogeneous Brinkmann spaces. We also prove, partially, that their parallel vector field generates an equicontinuous flow. |
| title | On completeness and dynamics of compact Brinkmann spacetimes |
| topic | Differential Geometry 53C50, 53B30 |
| url | https://arxiv.org/abs/2205.07243 |