Timeline for Some Confusion on Harmonic Map
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 26, 2020 at 7:07 | review | Close votes | |||
| Nov 2, 2020 at 3:02 | |||||
| Feb 25, 2016 at 6:27 | comment | added | gaoxinge | @JohnJiang It is really nice. Thank you. | |
| Feb 24, 2016 at 6:27 | comment | added | John Jiang | The way I like to think about Q1 is that $\Delta f = div \nabla f$, so it's the derivative of a 1-form (gradient co-vector). The volume form $\nu_g$ can dualize $\nabla f$ into an $(n-1)$-form, hence $\Delta f \nu_g$ is the d of an $(n-1)$-form. In coordinates, $\Delta f = d( \sum_i \frac{\partial f}{\partial x_i} dx_1 \wedge \ldots \wedge \hat{d x_i} \wedge \ldots \wedge dx_n)$. | |
| Feb 24, 2016 at 6:17 | history | edited | gaoxinge | CC BY-SA 3.0 |
added 181 characters in body
|
| Feb 24, 2016 at 3:12 | comment | added | Willie Wong |
In your second question, what is $e_s$? (Also, use \langle and \rangle for $\langle$ and $\rangle$ respectively, instead of greater and less than signs.)
|
|
| Feb 24, 2016 at 3:07 | history | edited | gaoxinge | CC BY-SA 3.0 |
deleted 15 characters in body
|
| Feb 24, 2016 at 2:58 | history | edited | gaoxinge | CC BY-SA 3.0 |
added 307 characters in body
|
| Feb 23, 2016 at 14:59 | history | asked | gaoxinge | CC BY-SA 3.0 |