Timeline for Largest hyperbolic disk embeddable in Euclidean 3-space?
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| Nov 4, 2023 at 18:55 | history | edited | Ian Agol | CC BY-SA 4.0 |
added 109 characters in body
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| Sep 23, 2020 at 16:09 | history | edited | Ian Agol | CC BY-SA 4.0 |
added 105 characters in body
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| Oct 20, 2019 at 5:36 | comment | added | Ian Agol | @PyRulez if you look here mathworld.wolfram.com/DinisSurface.html the curvature is -1 if a^2 + b^2 = 1. | |
| Oct 19, 2019 at 15:22 | comment | added | Christopher King | @IanAgol it looks like the parameter is bounded by the curvature though. What about a fixed curvature? | |
| Jul 24, 2017 at 18:30 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Image link broken; now fixed.
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| Nov 25, 2013 at 23:51 | comment | added | Ian Agol | @j.c.: thanks for the correction - I didn't realize this, but now that I read Robert's answer, I should have realized it wasn't a horodisk. I still think the answer works, by varying the parameter (in the limit, it should approach the immersed horodisk of the pseudosphere in the appropriate sense). | |
| Nov 25, 2013 at 15:29 | comment | added | j.c. | Robert Bryant shows that Dini's surface is not a horodisk in his answer here mathoverflow.net/questions/149842/… . Instead it is the region between a geodesic and a curve of constant geodesic curvature. | |
| Feb 5, 2013 at 19:19 | history | edited | Ian Agol | CC BY-SA 3.0 |
fixed figure
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| Nov 2, 2009 at 16:13 | history | edited | Ian Agol | CC BY-SA 2.5 |
added 88 characters in body
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| Nov 2, 2009 at 3:32 | comment | added | Ian Agol | yes, thanks, I changed it to horodisk. | |
| Nov 2, 2009 at 3:32 | history | edited | Ian Agol | CC BY-SA 2.5 |
improved formatting
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| Nov 2, 2009 at 3:12 | comment | added | j.c. | Thank you. I believe you mean that Dini's surface is an isometrically embedded horodisk, though? (The horocycle ought to be the cusp of Dini's surface.) I had been meaning to come back to update this question after following up on some of the references in Borisenko's paper, where I found that the immersions weren't particularly close to what I had in mind. | |
| Nov 2, 2009 at 2:57 | vote | accept | j.c. | ||
| Nov 2, 2009 at 0:19 | history | edited | Ian Agol | CC BY-SA 2.5 |
corrected spelling
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| Nov 1, 2009 at 21:10 | history | answered | Ian Agol | CC BY-SA 2.5 |