Timeline for Can the Laplace operator on $n-$ manifolds be represented as a sum of $n$ second order derivational operators
Current License: CC BY-SA 3.0
17 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
Commonmark migration
|
|
| Nov 23, 2018 at 22:05 | history | edited | Ali Taghavi |
I add a tag.
|
|
| Aug 16, 2015 at 5:53 | vote | accept | Ali Taghavi | ||
| Aug 9, 2015 at 4:52 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
edited title
|
| Aug 9, 2015 at 4:45 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
edited title
|
| Aug 6, 2015 at 18:25 | answer | added | David E Speyer | timeline score: 5 | |
| Aug 6, 2015 at 18:04 | comment | added | David E Speyer | In other words, yes, I think the manifold has to be parallelizable to find a global solution. | |
| Aug 6, 2015 at 18:02 | comment | added | David E Speyer | Maybe I'm missing something but, if the $X_i$ became linearly dependent at some $p \in M$, it seems to me that the symbol of $\sum \partial^2/(\partial X_i)^2$ at $p$ would be a degenerate quadratic form, so $\Delta \neq \sum \partial^2/(\partial X_i)^2$. | |
| Aug 6, 2015 at 17:58 | answer | added | Robert Bryant | timeline score: 22 | |
| Aug 6, 2015 at 8:44 | comment | added | Ali Taghavi | @Andrew Do you think any such vector field should be a frame hence manifold is parallelizable? | |
| Aug 6, 2015 at 8:37 | history | edited | Ali Taghavi |
edited tags
|
|
| Aug 6, 2015 at 8:35 | comment | added | Ali Taghavi | @Andrew but they do not have necearilly a common singularity, hence this is not an obstruction, right? | |
| Aug 6, 2015 at 8:30 | comment | added | Andrew | Globally continuous vector fields on some manifolds, say on a sphere, should vanish somewhere. | |
| Aug 6, 2015 at 7:28 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
added 1 character in body
|
| Aug 5, 2015 at 7:29 | answer | added | Raziel | timeline score: 11 | |
| Aug 5, 2015 at 6:22 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
added 14 characters in body
|
| Aug 5, 2015 at 3:56 | history | asked | Ali Taghavi | CC BY-SA 3.0 |