  Within the cosmic screening approach, we obtain the exact formulas for the
velocity-independent gravitational potentials produced by matter in the form of
discrete sources distributed in the open and closed Universes. These formulas
demonstrate that spatial curvature of the Universe considerably affect the form
of the potentials and forces. While in the open Universe the gravitational
force undergoes exponential suppression at cosmological distances, in the
closed Universe the force induced by an individual mass is equal to zero at the
antipodal point with respect to this mass. The derived formulas are applicable
for investigations of the motion of astrophysical objects (e.g., galaxies) in
the open and closed Universes, and for simulations of the large scale structure
formation.
