  We present a method for the study of second-order superhorizon perturbations
in multi field inflationary models with non trivial kinetic terms. We utilise a
change of coordinates in field space to separate isocurvature and adiabatic
perturbations generalizing previous results. We also construct second order
gauge invariant variables related to them. It is found that with an arbitrary
metric in field space the isocurvature perturbation sources the gravitational
potential on long wavelengths even for ``straight'' trajectories. The potential
decouples from the isocurvature perturbations if the background fields'
trajectory is a geodesic in field space. Taking nonlinear effects into account
shows that, in general, the two types of perturbations couple to each other.
This is an outline of a possible procedure to study nonlinear and non-Gaussian
effects during multifield inflation.
