I recently learnt about s-densities:

http://en.wikipedia.org/wiki/Density_on_a_manifold#s-densities_on_a_vector_space

For simplicity suppose that the vector space in this definition is \R. The prime example of a 1-density is certainly the one form dx. Each 1-density integrates to a translation-invariant measure on \R.

Is there a similar relation between s-densities and conformal measures?