We show the presence of non-relativistic L?vy-Leblond fermions in flat three- and
four-layers graphene with AB stacking, extending the results obtained in Cariglia et al. 2017 for
bilayer graphene. When the layer is curved we obtain a set of equations for Galilean fermions that
are a variation of those of L?vy-Leblond with a well defined combination of pseudospin, and that
admit L?vy-Leblond spinors as solutions in an approriate limit. The local energy of such Galilean
fermions is sensitive to the intrinsic curvature of the surface. We discuss the relationship between
two-dimensional pseudospin, labelling layer degrees of freedom, and the different energy bands.
For L?vy-Leblond fermions, an interpretation is given in terms of massless fermions in an effective
4D spacetime, and in this case the pseudospin is related to four dimensional chirality. A non-zero
energy band gap between conduction and valence electronic bands is obtained for surfaces with
positive curvature
