Timeline for Cross-ratios of $4$ boundary points on a continuous family of disks in $\mathbb C^1$
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Sep 8, 2020 at 13:29 | vote | accept | aglearner | ||
| Sep 5, 2020 at 22:48 | answer | added | aglearner | timeline score: 0 | |
| Sep 5, 2020 at 14:36 | review | Close votes | |||
| Sep 7, 2020 at 18:44 | |||||
| Sep 5, 2020 at 14:32 | history | edited | aglearner | CC BY-SA 4.0 |
added 43 characters in body
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| Sep 5, 2020 at 14:31 | comment | added | Alexandre Eremenko | Then set it up properly in the question text rather than in the comments. | |
| Sep 5, 2020 at 14:29 | comment | added | aglearner | Sorry Alexander, it was a bit hard to phrase this question properly. I want to measure the cross ratio of these 4 points not inside $\mathbb C^1$ but inside the disk. This is why I mentioned Rimenann mapping theorem. Using this theorem we see these 4 points as points in the boundary of the disk $|z|\le 1$ and then measure the corss-ratio in the disk $|z|\le 1$. Is it more clear now? | |
| Sep 5, 2020 at 14:21 | comment | added | Alexandre Eremenko | 1. What does the Riemann map have to do with this question? 2. You say $\phi_t$ continuously depends on $t$. Does not this mean that $\phi_t(0),\phi_t(1/2),...$ continuously depend on $t$ and since they are all distinct the cross ratio also continuously depend in $t$? | |
| Sep 5, 2020 at 0:07 | history | edited | aglearner | CC BY-SA 4.0 |
edited title
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| Sep 4, 2020 at 23:59 | history | asked | aglearner | CC BY-SA 4.0 |