Timeline for When do the lengths of simple closed curves determine a hyperbolic surface?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 22, 2020 at 13:20 | comment | added | Selim G | The curves I work with in my comment do not depend on the metric (as in the question). | |
| Oct 22, 2020 at 10:34 | comment | added | Alexandre Eremenko | The curves you refer to in your comment depend on the metric. In the original question you seem to fix the homotopy classes, and then consider all metrics. | |
| Oct 21, 2020 at 18:13 | comment | added | Selim G | Thanks for the references. Maybe I didn't insist enough on the fact that I want to work with isotopy classes of metrics, in which case we know that there exists at least one finite collection of homotopy classes whose lengths completely determine the metric (such a set can be made of cardinality 9g - 9 if I remember correctly). | |
| Oct 21, 2020 at 13:40 | history | edited | Alexandre Eremenko | CC BY-SA 4.0 |
added 301 characters in body
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| Oct 21, 2020 at 13:25 | history | answered | Alexandre Eremenko | CC BY-SA 4.0 |