Cusp-transitive 4-manifolds with every cusp section
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910108248702976 |
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| author | Chen, Jacopo Guoyi Rizzi, Edoardo |
| author_facet | Chen, Jacopo Guoyi Rizzi, Edoardo |
| contents | We realize every closed flat 3-manifold as a cusp section of a complete, finite-volume hyperbolic 4-manifold whose symmetry group acts transitively on the set of cusps. Moreover, for every such 3-manifold, a dense subset of its flat metrics can be realized as cusp sections of a cusp-transitive 4-manifold. Finally, we prove that there are a lot of 4-manifolds with pairwise isometric cusps, for any given cusp type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05080 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cusp-transitive 4-manifolds with every cusp section Chen, Jacopo Guoyi Rizzi, Edoardo Geometric Topology 57M50 We realize every closed flat 3-manifold as a cusp section of a complete, finite-volume hyperbolic 4-manifold whose symmetry group acts transitively on the set of cusps. Moreover, for every such 3-manifold, a dense subset of its flat metrics can be realized as cusp sections of a cusp-transitive 4-manifold. Finally, we prove that there are a lot of 4-manifolds with pairwise isometric cusps, for any given cusp type. |
| title | Cusp-transitive 4-manifolds with every cusp section |
| topic | Geometric Topology 57M50 |
| url | https://arxiv.org/abs/2408.05080 |