  We construct non-linear inflaton potential energy densities that describe
not-necessarily very-slowly-rolling closed and open inflation models, and
compute tilted primordial spatial inhomogeneity power spectra that follow from
quantum mechanical fluctuations during inflation in these models. Earlier
non-flat inflation model power spectra computations assumed an inflaton
potential energy density with a linear slope that resulted in very-slow-roll
during inflation and untilted power spectra. These new tilted power spectra
differ from those that have previously been used to study cosmological data in
non-flat cosmological models.
