A second-Rank symmetric Tensor is defined as a Tensor for which
(1) |
(2) |
(3) |
(4) |
The product of a symmetric and an Antisymmetric Tensor is 0. This can be seen as follows. Let
be Antisymmetric, so
(5) |
(6) |
(7) |
(8) |
A symmetric second-Rank Tensor has Scalar invariants
(9) | |||
(10) |
© 1996-9 Eric W. Weisstein