Timeline for Does there exist a closed geodesic go through a $\epsilon$-net of a hyperbolic surface?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Sep 5, 2017 at 15:48 | vote | accept | Markiff | ||
| Sep 5, 2017 at 13:45 | comment | added | Lee Mosher | The proof uses quasi geodesics. If you know what those are, and if you know the behavior of quasi geodesics in the hyperbolic plane, then the proof should be an exercise. | |
| Sep 5, 2017 at 7:09 | comment | added | Markiff | Thank you for the reference. Actually, I am reading that article and try to construct a closed geodesic which is shorter than one in the article. Following your answer, maybe we can not find an upper bound of the closed geodesic $\gamma_M$. Also, I don't understand why M is sufficiently large then the result of straightening is a closed geodesic $\gamma_M$. Could you please explain a little bit more or give me any reference? Thank you so much. | |
| Sep 4, 2017 at 14:53 | history | edited | Lee Mosher | CC BY-SA 3.0 |
added 56 characters in body
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| Sep 4, 2017 at 14:48 | history | answered | Lee Mosher | CC BY-SA 3.0 |