  Probing the geometry of the universe is one of the most important endevours
in cosmology. Current observational data from the Cosmic Microwave Background
anisotropy (CMB), galaxy surveys and type Ia supernovae (SNe Ia) strongly
constrain the curvature of the universe to be close to zero for a universe
dominated by a cosmological constant or dark energy with a constant equation of
state. Here we investigate the role of cosmic priors on deriving these tight
bounds on geometry, by considering a landscape motivated scenario with an
oscillating curvature term. We perform a likelihood analysis of current data
under such a model of non-trivial geometry and find that the uncertainties on
curvature, and correspondingly on parameters of the matter and dark energy
sectors, are larger. Future dark energy experiments together with CMB data from
experiments like Planck could dramatically improve our ability to constrain
cosmic curvature under such models enabling us to probe possible imprints of
quantum gravity.
