  Ergodic properties of rational maps are studied, generalising the work of F.\
Ledrappier. A new construction allows for simpler proofs of stronger results.
Very general conformal measures are considered. Equivalent conditions are given
for an ergodic invariant probability measure with positive Lyapunov exponent to
be absolutely continuous with respect to a general conformal measure. If they
hold, we can construct an induced expanding Markov map with integrable return
time which generates the invariant measure.
