Symmetric tensor

with respect to a pair of indices

A tensor which is invariant under transposition of this pair of indices. The result of alternation of a symmetric tensor with respect to this pair of indices is zero. A tensor is symmetric with respect to a set of indices if it is symmetric with respect to any two indices from this set.

Comments

Cf. also Symmetrization (of tensors).

References

[a1]	L. Brand, "Vector and tensor analysis" , Wiley (1947)
[a2]	E. Nelson, "Tensor analysis" , Princeton Univ. Press (1967)
[a3]	B. Spain, "Tensor calculus" , Oliver & Boyd (1953)