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The covariant Levi-Civita tensor (often known as the Riemannian quantity type) in any coordinate process that matches the chosen orientation is
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but recognize that In the event the metric signature includes an odd quantity of unfavorable eigenvalues q, then the sign of your parts of this tensor differ within the typical Levi-Civita symbol:[9]
$begingroup$ Does this imply that all my equals indicators are Incorrect? I often believed that if I rotate the numbers clockwise that then the quantity could be preserved. In order that seems to be valid just for an odd amount of indices, suitable? $endgroup$
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