An antisymmetric tensor is defined as a Tensor for which
|
(1) |
Any Tensor can be written as a sum of Symmetric and antisymmetric parts as
|
(2) |
The antisymmetric part is sometimes denoted using the special notation
|
(3) |
For a general Tensor,
|
(4) |
where
is the Levi-Civita Symbol, a.k.a. the Permutation Symbol.
See also Symmetric Tensor
© 1996-9 Eric W. Weisstein
1999-05-25