On systoles and ortho spectrum rigidity
| Autor: | Masai, Hidetoshi, McShane, Greg |
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| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We consider the ortho spectrum of hyperbolic surfaces with totally geodesic boundary. We show that in general the ortho spectrum does not determine the systolic length but that there are only finitely many possibilities. As a corollary we show that, up to isometry, there are only finitely many hyperbolic structures on a surface that share a given ortho spectrum. Comment: 24 pages, 14 figures. with more detailed exposition(v2), added further details(v3) |
| Databáze: | arXiv |
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