and both equations must hold for every choice of
.
Volume Invariants. The volume element
is not an invariant. For by Jacobi's theorem,
But we can complement
so that it becomes an invariant. If we form the determinant of the quantities
and both equations must hold for every choice of
.
Volume Invariants. The volume element
is not an invariant. For by Jacobi's theorem,
But we can complement
so that it becomes an invariant. If we form the determinant of the quantities