Re: Levi-Civita Symbol

On May 31, 6:43 am, w...@xxxxxxxxxxxxxxxx (J. B. Wood) wrote:
Hello, all. My question: Is the subject symbol a tensor or not? Several
presumably authoritative references I have on tensor analysis seem to
disagree on this. Sincerely,

John Wood (Code 5550) e-mail: w...@xxxxxxxxxxxxxxxx
Naval Research Laboratory
4555 Overlook Avenue, SW
Washington, DC 20375-5337

If you're referring to the three index completely anti-symmetric
object used to define 3 x 3 determinants and vector cross products,
then yes it definitely is a tensor. Since vectors are first rank
tensors, and cross products of vectors are second rank tensors, by the
quotient theorem, the Levi-Civita symbol must also be a tensor.




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