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Dec9-03, 12:37 PM
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P: 2,327
Originally posted by lethe
(Levi-Civita changes sign when you reflect it in the mirror, and so does E*B)
I got a hold of an undergrad math meth book by Arfken. In the chapter on tensors, it is said that the Levi-Civita symbol isn't really a tensor, but a pseudo-tensor. Any comments on this, and how it relates to the discussion? Does this mean that the dot product in question isn't really a scalar, but a pseudo-scalar? Is this only the case for the Levi-Civita symbol in 3-D, and in 4-D it is a true tensor?