  We show that the Anomalous Hall Effect (AHE) observed in Colossal
Magnetoresistance Manganites is a manifestation of Berry phase effects caused
by carrier hopping in a non-trivial spin background.
  We determine the magnitude and temperature dependence of the Berry phase
contribution to the AHE, finding that it increases rapidly in magnitude as the
temperature is raised from zero through the magnetic transition temperature
T_c, peaks at a temperature $T_{max} > T_c$ and decays as a power of T, in
agreement with experimental data. We suggest that our theory may be relevant to
the anomalous hall effect in conventional ferromagnets as well.
