A mathematical formulation for particle states and electronic properties of a
curved graphene sheet is provided, exploiting a massless Dirac spectrum
description for charge carriers living in a curved bidimensional background. In
particular, we study how the new description affects the characteristics of the
sample, writing an appropriate conductivity Kubo formula for the modified
background. Finally, we provide a theoretical analysis for the particular case
of a cylindrical graphene sample.Comment: 23 pages, 5 figure
