Timeline for Half space vs growing balls in the hyperbolic plane [closed]
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 31, 2021 at 10:42 | vote | accept | Chevallier | ||
| Oct 30, 2021 at 7:38 | history | closed |
Neil Hoffman Ryan Budney Daniele Tampieri Carl-Fredrik Nyberg Brodda Ben McKay |
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| Oct 20, 2021 at 15:20 | answer | added | R W | timeline score: 1 | |
| Oct 20, 2021 at 14:54 | comment | added | Chevallier | @NeilHoffman, thank you very much, this is what I was looking for. I didn't think of seeing the problem like this. | |
| Oct 20, 2021 at 14:33 | review | Close votes | |||
| Oct 30, 2021 at 7:38 | |||||
| Oct 20, 2021 at 14:15 | comment | added | Neil Hoffman | I am having a little trouble parsing your question, but I think it belongs on MSE not MO. To answer the first part, consider the Poincare disk model D={(x,y)| x^2+y^2 < 1} ds_H^2 = ds_E^2/(1-r^2)^2, and look at circles through the origin with centers on the positive part of the axis. Notice here, Euclidean circles model hyperbolic circles (but the center of the hyperbolic circle is closer to the boundary than the center of the Euclidean circle). However, Euclidean circles can't have radius more than 1/2 and go through the origin. So consider points in set S= {(x,y)| x>0, (x-1/2)^2+y^2 >1/4}. | |
| Oct 20, 2021 at 13:31 | history | asked | Chevallier | CC BY-SA 4.0 |