  It is shown that the double exchange Hamiltonian, with weak antiferromagnetic
interactions, has a rich variety of first order transitions between phases with
different electronic densities and/or magnetizations. For band fillings in the
range $0.3 \le x \le 0.5$, and at finite temperatures, a discontinuous
transition between phases with similar electronic densities but different
magnetizations takes place. This sharp transition, which is not suppressed by
electrostatic effects, and survives in the presence of an applied field, is
consistent with the phenomenology of the doped manganites near the transition
temperature.
