Finite inflation in curved space

We investigate the effects of non-zero spatial curvature on cosmic inflation in light microwave background (CMB) anisotropy measurements from Planck 2018 legacy release and 2015 observing season BICEP2 Keck Array. Even a small percentage today would significantly limit total number e-folds scale factor during inflation, rendering just-enough scenarios with kinetically dominated or fast-roll stage prior to slow-roll more likely. Finite leads oscillations cutoff towards large scales primordial power spectrum pushes them into CMB observable window. Using nested sampling, we carry out Bayesian parameter estimations model comparisons taking account constraints reheating horizon considerations. confirm preference data for closed universes odds over $100:1$ posterior density $\Omega_{K,0}=-0.051\pm0.017$ extension LCDM $\Omega_{K,0}=-0.031\pm0.014$ Starobinsky inflation. Model various models give similar results as flat outperforming most other models.