  We study the existence of incommensurate phases in the phase diagram of the
two orbital double exchange model coupled with Jahn-Teller phonons and with
superexchange interactions. In agreement with experimental results, we find
that undoped manganites $RMnO_3$ ($R$ being some rare earth element) show
temperature induced commensurate-incommensurate phase transitions. In the
incommensurate phase the magnetic wave vector varies with temperature. The
incommensurate phase arises from the competition between the short range
antiferromagnetic superexchange interaction and the long range ferromagnetic
double exchange interaction.
