IEVref:102-03-43ID:
Language:enStatus: Standard
Term: antisymmetric tensor
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Definition: tensor of the second order defined by a bilinear form such that f(U,V)=f(V,U)

Note 1 to entry: The components of an antisymmetric tensor are such that Tij=Tji, and in particular Tii=0.

Note 2 to entry: An antisymmetric tensor defined on a three-dimensional space has three strict components which can be considered as the coordinates W1,W2,W3 of an axial vector:

(0W3W2W30W1W2W10)

The axial vector associated with the antisymmetric tensor UVVU is the vector product of the two vectors.


Publication date:2008-08
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Internal notes:2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO
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