  We study the quantum-gravitational corrections to the power spectrum of a
gauge-invariant inflationary scalar perturbations in a closed model of a
universe. We consider canonical quantum gravity as an approach to quantizing
gravity. This leads to the Wheeler-DeWitt equation, which has been studied by
applying a semiclassical Born-Oppenheimer type of approximation. At the
corresponding orders of approximation, we recover both the uncorrected and
quantum-gravitationally corrected Schroedinger equations for the perturbation
modes from which we calculate the quantum-gravitational corrections to the
power spectrum in the slow-roll regime. The results are compared to the power
spectra for the flat model of the universe.
