- #1

marschmellow

- 49

- 0

[itex]\epsilon[/itex][itex]^{a}_{ik}[/itex][itex]\delta[/itex][itex]^{ij}[/itex][itex]\partial[/itex][itex]_{j}[/itex]A[itex]^{k}[/itex]

as the components in some coordinate system of

curl([itex]\vec{A}[/itex])

But I don't see how this generalizes. Furthermore, I'm not sure whether the "vector potential" would be a type-(1,0) tensor with a generalized curl that raises its contravariant rank or a type-(2,0) tensor with a generalized curl that preserves its contravariant rank. Of course, it's also possible that this little aspect of vector calculus simply doesn't apply to higher-order tensors. Any ideas? Thanks.