On the viability of the evolution of the universe with Geometric
  Inflation
  We perform a general analysis of the cosmological viability of Geometric
Inflation. We show that the evolution of the universe, from inflation to the
present day, can be seen from the addition of an infinite tower of curvature
invariants into the Hilbert-Einstein action. The main epochs of the Universe
can be reproduced: Inflation, Big Bang Nucleosynthesis, and Late-time
acceleration driven by the cosmological constant. The slow-roll condition is a
robust prediction of the theory. Inflation possesses a graceful exit with
enough number of $e-$folds between the limit imposed by the Planck density and
the exit of the exponential expansion to solve the horizon problem and the
absence of topological defects. We also provide some scenarios where the energy
scale of the theory can be calibrated.
