Flexible hyperbolic cone metrics on the genus 2 surface
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866916864907542528 |
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| author | Chui, Katherine Russell, Jacob |
| author_facet | Chui, Katherine Russell, Jacob |
| contents | A negatively curved hyperbolic cone metric on a surface is rigid if it is determined by the support of its Liouville current. We use a theorem of Erlandsson, Leininger, and Sadanand to show that there are nine mapping class group orbits of equivalence classes of non-rigid (aka flexible) metrics in the case of the genus 2 surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19677 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Flexible hyperbolic cone metrics on the genus 2 surface Chui, Katherine Russell, Jacob Geometric Topology 57M50, 57K20 A negatively curved hyperbolic cone metric on a surface is rigid if it is determined by the support of its Liouville current. We use a theorem of Erlandsson, Leininger, and Sadanand to show that there are nine mapping class group orbits of equivalence classes of non-rigid (aka flexible) metrics in the case of the genus 2 surface. |
| title | Flexible hyperbolic cone metrics on the genus 2 surface |
| topic | Geometric Topology 57M50, 57K20 |
| url | https://arxiv.org/abs/2507.19677 |