Question

Compare symmetry and anti symmetry tensors

Answer 1

Step-by-step explanation:

Symmetric and antisymmetric tensors

A tensor aij is symmetric if aij = aji. A tensor bij is antisymmetric if bij = −bji. It follows that for an antisymmetric tensor all diagonal components must be zero (for example, b11 = −b11 ⇒ b11 = 0). The (inner) product of a symmetric and antisymmetric tensor is always zero.