Asymptotic behavior of Moncrief Lines in constant curvature space-times
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866929391815098368 |
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| author | Belraouti, Mehdi Mesbah, Abderrahim Messaci, Mohamed Lamine |
| author_facet | Belraouti, Mehdi Mesbah, Abderrahim Messaci, Mohamed Lamine |
| contents | We study the asymptotic behavior of Moncrief lines on $2+1$ maximal globally hyperbolic spatially compact space-time $M$ of non-negative constant curvature. We show that when the unique geodesic lamination associated with $M$ is either maximal uniquely ergodic or simplicial, the Moncrief line converges, as time goes to zero, to a unique point in the Thurston boundary of the Teichmüller space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12557 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotic behavior of Moncrief Lines in constant curvature space-times Belraouti, Mehdi Mesbah, Abderrahim Messaci, Mohamed Lamine Geometric Topology We study the asymptotic behavior of Moncrief lines on $2+1$ maximal globally hyperbolic spatially compact space-time $M$ of non-negative constant curvature. We show that when the unique geodesic lamination associated with $M$ is either maximal uniquely ergodic or simplicial, the Moncrief line converges, as time goes to zero, to a unique point in the Thurston boundary of the Teichmüller space. |
| title | Asymptotic behavior of Moncrief Lines in constant curvature space-times |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2406.12557 |