  We find proximity-induced spontaneous spin and electric surface currents, at
all temperatures below the superconducting T_c, in an isotropic s-wave
superconductor deposited with a thin ferromagnetic metal layer with spin-orbit
interaction. The currents are carried by Andreev surface states and generated
as a joint effect of the spin-orbit interaction and the exchange field. The
background spin current arises in the thin layer due to different local spin
polarizations of electrons and holes, which have almost opposite velocities in
each of the surface states. The spontaneous surface electric current in the
superconductor originates in asymmetry of Andreev states with respect to sign
reversal of the momentum component parallel to the surface. Conditions for
electric and spin currents to show up in the system, significantly differ from
each other.
