  In this paper we take an approach similar to that in [M] to establish a
positive mass theorem for asymptotically hyperbolic spin manifolds admitting
corners along a hypersurface. The main analysis uses an integral representation
of a solution to a perturbed eigenfunction equation to obtain an asymptotic
expansion of the solution in the right order. This allows us to understand the
change of the mass aspect of a conformal change of asymptotically hyperbolic
metrics.
