Timeline for Why is it important that partial derivatives commute?
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
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| Feb 25, 2013 at 11:38 | comment | added | Peter Dalakov | If the torsion vanishes, horizontal 1-forms are closed: $\nabla\alpha =0\Rightarrow d\alpha=0$, hence locally exact. You can use the "potentials" as local coordinates, etc. | |
| Feb 25, 2013 at 9:51 | comment | added | Willie Wong | "Which is the covariant derivative version of saying partial derivatives commute" not quite. It only says that for scalar functions. | |
| Feb 24, 2013 at 22:20 | answer | added | ClassicalPhysicist | timeline score: 2 | |
| Feb 24, 2013 at 19:44 | comment | added | Ryan Budney | Isn't this a repeat of the thread Claudio links to above? | |
| Feb 24, 2013 at 16:11 | comment | added | David Corwin | So that exterior differentiation makes a chain complex! | |
| Feb 24, 2013 at 16:05 | answer | added | Liviu Nicolaescu | timeline score: 11 | |
| Feb 23, 2013 at 20:24 | comment | added | Claudio Gorodski | There are nice interpretations of torsion in mathoverflow.net/questions/20493/… Especially, check out Tom Boardman's answer. | |
| Feb 23, 2013 at 15:57 | answer | added | Peter Michor | timeline score: 7 | |
| Feb 23, 2013 at 15:51 | answer | added | Deane Yang | timeline score: 10 | |
| Feb 23, 2013 at 15:46 | history | edited | Qfwfq | CC BY-SA 3.0 |
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| Feb 23, 2013 at 15:42 | comment | added | Harald Hanche-Olsen | A related question might be: What uses, if any, are there for connections that aren't torsion free? | |
| Feb 23, 2013 at 15:16 | history | asked | R S | CC BY-SA 3.0 |