the portion 6 ends at connecting regions 16 of the housing 2 with a widened edge contour 8 the shape of the elevations 7 and of the edge contours 8 which is selected in this case is shown by way of example in fig2 which is a cross section taken along a line a a of fig1 at any rate the area percentage of the elevations 7 in the portion 6 amounts to at least 80 which is the total area minus the edge contour as mentioned above fig2 diagrammatically shows the cross section taken along the line a a of fig1 through the housing 2 of the honeycomb body 1 in this case the sheet metal material 5 has the elevations 7 and the edge contours 8 within the portion 6 which separate the elevations 7 from one another in each case and simultaneously fully circumferentially surround the elevations 7 the edge contours are formed so as to be substantially flat and in particular planar in relation to the elevations 7 and it is self evident that the edge contours are adapted to the respective outer shape of the housing 2 in this case the sheet metal material 5 has a thickness d and the elevations 7 of the sheet metal material 5 have a height h which is measured from that side of the sheet metal material 5 which faces away from the elevation 7 to the outer sheet metal surface of the sheet metal material 5 of the elevation 7 in fig2 it is clear that in one particularly advantageous embodiment of the sheet metal material 5 the elevations 7 are disposed offset with respect to one another in the circumferential direction of the housing 2 so as to provide a high bending resistance and dimensional stability.