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I'm having troubles with the Levi-Civita symbol. I understand what the normal epsilon-tensor means and how it works. But how do I interpret this:

$$\mathrm{{\varepsilon_{i}}^{jk}}~~~\text{or}~~~\mathrm{{\varepsilon_{ik}}^{k}}$$

Thank you!

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    $\begingroup$ Can you give some more context, including the definition of your "normal" epsilon? The answer really depends on the exact setting. In the case of 3-dimensional Riemannian geometry where $\varepsilon$ is a normalized volume form, this is simply the usual raising of indices using the metric. $\endgroup$ – Anthony Carapetis Nov 16 '15 at 16:45
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    $\begingroup$ As usual with tensors, I suspect that these are the "normal" Levi-Civita tensor with some indices raised or lowered with the aid of the metric. $\endgroup$ – Alex M. Nov 16 '15 at 18:15

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