Timeline for Isometry group of a compact hyperbolic surface
Current License: CC BY-SA 3.0
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Oct 30, 2015 at 17:32 | comment | added | Ian Agol | I should add that such surfaces exist. For any pair of embedded curves, the set of surfaces in which they have the same length is a codimension one subset. So by Baire category, there exist surfaces in which all of the curves have different lengths. This is not true for immersed curves though, for which certain geodesics will always have the same length. | |
Oct 30, 2015 at 13:43 | vote | accept | user82102 | ||
Oct 29, 2015 at 19:29 | history | answered | Ian Agol | CC BY-SA 3.0 |