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or Minkowski Area. The values of the Levi-Civita image are impartial of any metric tensor and coordinate method. Also, the precise expression "symbol" emphasizes that it's not a tensor on account of how it transforms concerning coordinate devices; nonetheless it could be interpreted as being a tensor density.
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Samples of Levi-Civita Qualities in four dimensions include things like the symmetric and antisymmetric nature of the tensor, its relation for the metric tensor, and its transformation Homes below coordinate transformations.
ε i j ε i n = δ j n displaystyle varepsilon _ ij varepsilon ^ in = delta _ j ^ n