Cusp-transitive 4-manifolds with every cusp section
| Autor: | Chen, Jacopo Guoyi, Rizzi, Edoardo |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 18 pages, 7 figures. Added acknowledgments |
| Databáze: | arXiv |
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