User talk:JanBielawski

Hi Jan, I've noticed the same spacing (as on the curvature form page) as the standard for the Christoffel symbols here and was wondering - why do we do that here? Does something like $$\omega^i_j$$ display badly on your browser? Orthografer 06:13, 11 August 2006 (UTC)

Hello Ortho &mdash; $$\omega^i_j$$ displays fine, it's just not really proper tensor notation because the indices must come in a definite order, and with $$\textstyle i$$ sitting exactly above $$\textstyle j$$ it's not clear which index is first. Putting it differently, $$\omega^i_{\ j}$$ and $$\omega_k^{\ l}$$ are different tensors: $$\omega^i_{\ j}=g^{ik}g_{jl}\,\omega_k^{\ l}\ne\omega_k^{\ l}$$ This problem does not arise with Christoffel symbols because they are not a tensor and their indices are never raised or lowered. JanBielawski 09:08, 13 August 2006 (UTC)


 * Thanks, Jan. Orthografer 19:03, 15 August 2006 (UTC)

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