A second-order expansion for the quantum fluctuations of the matter field w
as considered in the framework of the warm inflation scenario. The friction
and Hubble parameters were expanded by means of a semiclassical approach.
The fluctuations of the Hubble parameter generates fluctuations of the metr
ic. These metric fluctuations produce an effective term of curvature. The p
ower spectrum for the metric fluctuations can be calculated on the infrared
sector.