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Jul 8, 2011 at 14:10 comment added Spiro Karigiannis Looks like we were answering at the same time. At least I gave a slightly different explanation, so I might as well leave my answer there.
Jul 8, 2011 at 14:06 vote accept Gunnar Þór Magnússon
Jul 8, 2011 at 14:04 comment added BS. @Gunnar: definitely yes, $\omega$ is a 2-form, otherwise $d\omega$ wouldn't make much sense. The riemannian metric is $\omega(J.,.)$.
Jul 8, 2011 at 13:57 comment added Gunnar Þór Magnússon Nice. Are we considering $\omega$ as a symplectic form here (instead of a metric)?
Jul 8, 2011 at 13:57 history edited BS. CC BY-SA 3.0
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Jul 8, 2011 at 13:49 history answered BS. CC BY-SA 3.0