Timeline for Codifferential of 1-form associated to a Killing vector field
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Nov 28, 2011 at 16:54 | comment | added | gggg gggg | No, this is not homework. I do not study, so I teach myself things out of the literature. If I had people to discuss exercises with, it would be much easier, but I haven't, so I have to ask. Normally, I would not have asked here, but in the other forums, such questions are far to specific. If I am no longer allowed to post questions that can boost my understanding of the theory, then I will have to accept it even though I will certainly not be happy about it. | |
| Jul 28, 2011 at 22:46 | comment | added | José Figueroa-O'Farrill | You're welcome. I found it easier to answer the question than pointing you to the literature. I have the feeling that the question is not quite appropriate for MO, though. In fact, rereading the question makes me somewhat suspicious that this may have been homework, in which case I'd like to apologise to the MO community for this lapse in judgement :( | |
| Jul 28, 2011 at 16:55 | comment | added | gggg gggg | Thanks a lot. This was exactly the kind of answer I was looking for. | |
| Jul 28, 2011 at 15:02 | comment | added | José Figueroa-O'Farrill | The codifferential of the 1-form dual to a vector field is the divergence of the vector field. Now, if $\zeta$ is Killing, then it obeys $$\nabla_a \zeta_b + \nabla_b \zeta_a = 0$$ Now just take the trace. | |
| Jul 28, 2011 at 14:52 | history | asked | gggg gggg | CC BY-SA 3.0 |