In left-right symmetric models (LRSM) the light neutrino masses arise from
two sources: the seesaw mechanism and a VEV of an SU(2)L triplet. If the
left-right symmetry breaking, vR, is low, v_R\lsim15\TeV, the
contributions to the light neutrino masses from both the seesaw mechanism and
the triplet Yukawa couplings are expected to be well above the experimental
bounds. We present a minimal LRSM with an additional U(1) symmetry in which the
masses induced by the two sources are below the eV scale and the two-fold
problem is solved. We further show that, if the U(1) symmetry is also
responsible for the lepton flavor structure, the model yields a small mixing
angle within the first two lepton generations.Comment: 18 pages references added published versio