anonanon 152k1212 gold badges233233 silver badges398398 bronze badges $endgroup$ 4 $begingroup$ That's ideal thanks a bunch! I also posted an identical concern below: math.stackexchange.com/questions/2135276/… that you might have some insight on? $endgroup$
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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 − δ j m δ k l ) .
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The term "n-dimensional Levi-Civita symbol" refers to the fact that the volume of indices within the image n matches the dimensionality in the vector Place in question, which may be Euclidean or non-Euclidean, by way of example, R three displaystyle mathbb R ^ 3
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The Levi-Civita tensor is Employed in the Einstein discipline equations to precise the curvature of spacetime with regard to the Vitality and momentum of make any difference and radiation.
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The covariant Levi-Civita tensor (often called the Riemannian quantity type) in any coordinate program that matches the selected orientation is
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