Timeline for Interpretation of the two-dimensional de-Rham complex
Current License: CC BY-SA 3.0
8 events
when toggle format | what | by | license | comment | |
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Jul 13, 2011 at 23:03 | vote | accept | shuhalo | ||
Jul 13, 2011 at 15:41 | answer | added | Nicola Ciccoli | timeline score: 2 | |
Jul 13, 2011 at 13:30 | answer | added | Paul Siegel | timeline score: 4 | |
Jul 13, 2011 at 2:33 | answer | added | Tom Goodwillie | timeline score: 6 | |
Jul 13, 2011 at 1:19 | history | edited | AFK | CC BY-SA 3.0 |
LaTeX improvements
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Jul 12, 2011 at 17:08 | comment | added | Donu Arapura | After reading your question a bit more carefully, I realize you are unsure of the signs. To make identifications, you need to choose a metric on $\mathbb{R}^2$ and an orientation. Pick the Euclidean metric oriented so that $dx\wedge dy$ is the volume form. Then this will fix the choice of isomorphisms between $1$-forms and vector fields, and $2$-forms and scalars. | |
Jul 12, 2011 at 16:53 | comment | added | Donu Arapura | I'm not sure I understand the question. I guess, you can view $$d(fdx+gdy) = (\partial g/\partial x-\partial f/\partial y)dx\wedge dy$$ as the $z$-component of the curl. | |
Jul 12, 2011 at 16:29 | history | asked | shuhalo | CC BY-SA 3.0 |