where by gab could be the representation of the metric in that coordinate procedure. We are able to likewise contemplate a contravariant Levi-Civita tensor by increasing the indices Together with the metric as typical,
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The covariant Levi-Civita tensor (often called the Riemannian volume kind) in almost any coordinate program that matches the selected orientation is
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= δ i l ( δ j m δ k n − δ j n δ k m ) − δ i m ( δ j l δ k n − δ j n δ k l ) + δ i n ( δ j l δ k m check out this site − δ j m δ k l ) .
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