Timeline for Isothermal-related functions in higher dimensions
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Nov 29, 2014 at 21:18 | answer | added | Deane Yang | timeline score: 3 | |
| Nov 29, 2014 at 11:49 | answer | added | Robert Bryant | timeline score: 5 | |
| Nov 29, 2014 at 8:21 | comment | added | Joonas Ilmavirta | I know the question is not about isothermal coordinates per se, but it sounded like you would have liked to have isothermal coordinates in higher dimensions as well. | |
| Nov 28, 2014 at 22:09 | history | edited | Ali | CC BY-SA 3.0 |
added 2 characters in body
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| Nov 28, 2014 at 22:08 | comment | added | Ali | you are completely right but this question is not necessarily asking to find isothermal coordinates in a 3-d manifold. I just put the word isothermal coordinates because in 2-d, solutions to the pde are related to isothermal coordinates. I have edited the title | |
| Nov 28, 2014 at 20:21 | comment | added | Joonas Ilmavirta | Isothermal coordinates exist locally iff the manifold is conformally flat. This always happens in dimension two. In 3D this is equivalent with vanishing Cotton tensor and in higher dimensions Weyl tensor. That is, in general isothermal coordinates don't exist in higher dimensions. | |
| Nov 28, 2014 at 20:17 | history | asked | Ali | CC BY-SA 3.0 |