Abstract: We consider Schroedinger operators with random, ergodic perturbations. Such operators are used in the quantum theory of solids to model disordered media. In this context, the perturbations concern the potential. Randomness is expected to regularize certain spectral quantities, in particular the integrated density of states (spectral density function). We prove this regularization effect for a certain class of operators on manifolds where the perturbations concern the metric. This is a report on joint work with Lenz, Peyerimhoff and Post.