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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.19519 |
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| _version_ | 1866914213231853568 |
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| author | Troubat, Roméo |
| author_facet | Troubat, Roméo |
| contents | We provide a generalization of global hyperbolicity in pseudo-Riemannian spaces of signature (p, q) for p ___ q ___ 2. We then prove the compactness of causal diamonds in globally hyperbolic spaces and deduce the existence of solutions to a Plateau problem for this class of spaces. Finally, caracterize GH-regular representations in SO(p,q+1) as holonomies of some globally hyperbolic spaces modeled on H^{p,q}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19519 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global hyperbolicity in higher signatures Troubat, Roméo Differential Geometry Geometric Topology We provide a generalization of global hyperbolicity in pseudo-Riemannian spaces of signature (p, q) for p ___ q ___ 2. We then prove the compactness of causal diamonds in globally hyperbolic spaces and deduce the existence of solutions to a Plateau problem for this class of spaces. Finally, caracterize GH-regular representations in SO(p,q+1) as holonomies of some globally hyperbolic spaces modeled on H^{p,q}. |
| title | Global hyperbolicity in higher signatures |
| topic | Differential Geometry Geometric Topology |
| url | https://arxiv.org/abs/2411.19519 |