  We compute the optical conductivity for an out-of-plane deformation in
graphene using an approach based on solutions of the Dirac equation in curved
space. Different examples of periodic deformations along one direction
translates into an enhancement of the optical conductivity peaks in the region
of the far and mid infrared frequencies for periodicities $\sim100\,$nm. The
width and position of the peaks can be changed by dialling the parameters of
the deformation profiles. The enhancement of the optical conductivity is due to
intraband transitions and the translational invariance breaking in the
geometrically deformed background. Furthemore, we derive an analytical solution
of the Dirac equation in a curved space for a general deformation along one
spatial direction. For this class of geometries, it is shown that curvature
induces an extra phase in the electron wave function, which can also be
explored to produce interference devices of the Aharonov-Bohm type.
