Rolling bearing cage

A cage for cylindrical rolling elements, said cage being rolled out of a sheet metal strip and comprising two side rings that are connected by profiled crossbars that form pockets, said crossbars comprising sections that are situated inside of a pitch circle and, parallel to said sections, further sections that are situated outside of the pitch circle, said sections and said further sections being connected to one another by still further sections that are inclined to a cage axis, wherein, in a profiled, punched and unbent state of the sheet metal strip, the pockets, as seen in a top view, have a curved shape in a region of the inclined sections, so that an axially inner, first convex curve B1 merges into an outer, second concave curve B2.