To produce a mechanically firm glued connection between two surface regions of surfaces to be connected, a method is provided which provides each of the surfaces with surface regions having a peak-to-valley thickness of less than 0.3 &mgr;m and the surface regions are brought together in such a way that an intermediate space, which is filled with the glue, is produced therebetween and the space has a small average thickness of less than 0.31 &mgr;m and extends over a surface area of at least 20×20 &mgr;m2. The glue is preferably brought into the intermediate space by capillary action and contacts of high quality can be achieved with this method.