Timeline for 'Degenerate' tangent point of a minimal graph
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 12, 2023 at 19:10 | comment | added | Connor Mooney | Sure! Yes, playing with harmonic functions (expansions of minimal surfaces over their tangent planes) was the key. The helicoid is one of my favorite examples because it's harmonic and infinity-harmonic, thus minimal (since the MSE is Laplace - (Infinity Laplace)/(1+grad^2) = 0). | |
| May 12, 2023 at 17:58 | comment | added | Leo Moos | This is so cool, thanks! Did your reasoning go something as follows? You saw that there examples that are harmonic functions, and then the helicoid was a natural guess, and the calculations worked out at the point? And as for 'why' there 'should' be harmonic examples, it seems like it's got something to do with $u$ being decomposed into different frequencies, with them interacting at intermediate scales - is there an explanation along these lines? | |
| May 12, 2023 at 17:39 | vote | accept | Leo Moos | ||
| May 12, 2023 at 17:27 | history | edited | Connor Mooney | CC BY-SA 4.0 |
added 202 characters in body
|
| May 12, 2023 at 16:26 | history | edited | Connor Mooney | CC BY-SA 4.0 |
added 218 characters in body
|
| May 12, 2023 at 16:05 | history | edited | Connor Mooney | CC BY-SA 4.0 |
deleted 5 characters in body
|
| May 12, 2023 at 15:51 | history | edited | Connor Mooney | CC BY-SA 4.0 |
added 21 characters in body
|
| May 12, 2023 at 15:45 | history | edited | Connor Mooney | CC BY-SA 4.0 |
added 79 characters in body
|
| May 12, 2023 at 15:38 | history | edited | Connor Mooney | CC BY-SA 4.0 |
added 79 characters in body
|
| May 12, 2023 at 15:28 | history | answered | Connor Mooney | CC BY-SA 4.0 |