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It is demonstrated that thermally induced longitudinal spin fluctuations(LSF) play an important role in itinerant Co$_3$Mn$_2$Ge at an elevatedtemperature. The effect of LSF is taken into account during {\it ab initio}calculations via a simple model for the corresponding entropy contribution. Weshow that the magnetic entropy leads to the appearance of a medium size localmoment on Co atoms. As a consequence, this leads to a renormalization of themagnetic exchange interactions with a quite substantial impact upon thecalculated Curie temperature. Taking LSF into account, the calculated Curietemperature can be brought to be in good agreement with the experimental value.

The effect of longitudinal spin-fluctuations on high temperature properties of Co$_3$Mn$_2$Ge