A method for reducing microcrack formation and crack growth in the glass carrier of a component having a micromechanical sensor element that is bonded to the glass carrier. The upper side of the glass carrier acts as a bonding surface for the sensor element. The rear side of the glass carrier, situated opposite the upper side, acts as a mounting surface for the component, and the glass carrier has side surfaces that connect the upper side and the rear side. In particular, the glass carrier is formed by a segment of a glass wafer into which at least the contours of the glass carrier have been stamped, so that at least the areas produced in this way of the side surfaces of the glass carrier and the rear side of the glass carrier form a surface that is largely closed and free of microcracks.