This is the expression of the divergence of a contravariant six-vector.

Divergence of the mixed tensor of the second rank.

Let us form the reduction of (39) with reference to the indices α and σ, we obtain remembering (29a)

"(41)"

If we introduce into the last term the contravariant tensor Aρσ = gρτ Aστ, it takes the form

If further Aρσ or is symmetrical it is reduced to

If instead of Aρσ, we introduce in a similar way the symmetrical co-variant tensor Aρσ = gρα gσβ Aαβ, then owing to (31) the last member can take the form