Given an antisymmetric second tensor rank tensor 
, a dual pseudotensor 
is defined by
 |
(1)
|
where
 |  | ![[C_(23); C_(31); C_(12)]](/images/equations/DualTensor/Inline5.svg) |
(2)
|
 |  | ![[0 C_(12) -C_(31); -C_(12) 0 C_(23); C_(31) -C_(23) 0].](/images/equations/DualTensor/Inline8.svg) |
(3)
|
Dual Tensor
See also
Dual ScalarExplore with Wolfram|Alpha
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 TensorCite this as:
Weisstein, Eric W. "Dual Tensor." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DualTensor.html