Flux coordinates: Difference between revisions

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g^j_i   
g^j_i   
= \mathbf{e}_i\cdot\mathbf{e}^j = \delta_i^j ~.
= \mathbf{e}_i\cdot\mathbf{e}^j = \delta_i^j ~.
</math>
The metric tensors can be used to ''raise'' or ''lower'' indices. Take
:<math>
\mathbf{B}
= B_i\mathbf{e}^i = B_i g^{ij}\mathbf{e}_j = B^j\mathbf{e}_j~,
</math>
so that
:<math>
B^j = g^{ij} B_i~.
</math>
</math>


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