  A relativistic Green's function approach to inclusive quasielastic
charged-current neutrino-nucleus scattering is developed. The components of the
hadron tensor are written in terms of the single-particle Green's function,
which is expanded on the eigenfunctions of the nuclear optical potential, so
that final state interactions are accounted for by means of a complex optical
potential but without a loss of flux. Results for the (neutrino_mu, mu-)
reaction on 16O and 12C target nuclei are presented and discussed. A reasonable
agreement of the flux-averaged cross section on 12C with experimental data is
achieved.
