Timeline for Is a local isometry of the hyperbolic plane the restriction of a global isometry?
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 26, 2022 at 8:42 | comment | added | Sam Nead | As I noted below, “half” of the isometries of the hyperbolic plane are orientation reversing. However, Mobius transformations are orientation preserving. So the lemma you cite is missing a hypothesis (or a conclusion). If you add “negative complex conjugation” to the group $\mathrm{PSL}$ then you will get all isometries. | |
| Nov 26, 2022 at 5:39 | vote | accept | gaoqiang | ||
| Nov 20, 2023 at 12:03 | |||||
| Nov 26, 2022 at 5:39 | vote | accept | gaoqiang | ||
| Nov 26, 2022 at 5:39 | |||||
| Nov 26, 2022 at 5:38 | history | edited | gaoqiang | CC BY-SA 4.0 |
added 773 characters in body
|
| Nov 25, 2022 at 16:12 | comment | added | Ryan Budney | If your "domain" isn't connected, then the answer would be no. | |
| Nov 25, 2022 at 5:30 | comment | added | Moishe Kohan | You should edit the question and explain what do you mean by an "isometry" (so that the word "injective" is not redundant and also make it clear if your definition includes "orientation-preserving") and does the word "domain" mean "open and connected" (as customary in complex analysis). | |
| Nov 25, 2022 at 0:53 | answer | added | Gerald Edgar | timeline score: 3 | |
| Nov 25, 2022 at 0:26 | comment | added | LSpice | Isn't "injective" redundant in "injective and an isometry"? | |
| Nov 25, 2022 at 0:26 | history | edited | LSpice | CC BY-SA 4.0 |
Typo
|
| Nov 24, 2022 at 19:05 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Oct 25, 2022 at 18:39 | answer | added | Sam Nead | timeline score: 3 | |
| Oct 25, 2022 at 16:10 | history | asked | gaoqiang | CC BY-SA 4.0 |