Abstract
The shifts and splittings are found for a two-dimensional donor and a Wannier-Mott exciton on a curved surface. The appearance of fine structure in the excitonic luminescence line as a result of the motion of the system as a whole in a potential of geometric origin is estimated. The relative contributions of the Coulomb potential and kinetic energy operator to the corrections for curvature depend strongly on the geometric form of the surface.
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