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Dual Tensor


Given an antisymmetric second tensor rank tensor C_(ij), a dual pseudotensor C_i is defined by

 C_i=1/2epsilon_(ijk)C_(jk),
(1)

where

C_i=[C_(23); C_(31); C_(12)]
(2)
C_(jk)=[0 C_(12) -C_(31); -C_(12) 0 C_(23); C_(31) -C_(23) 0].
(3)

See also

Dual Scalar

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References

Arfken, G. "Pseudotensors, Dual Tensors." §3.4 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 128-137, 1985.

Referenced on Wolfram|Alpha

Dual Tensor

Cite this as:

Weisstein, Eric W. "Dual Tensor." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DualTensor.html

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