The invention is directed to a rolling bearing having at least one row of cylindrical rolling bodies for transmitting axial forces between two annular connection elements which are concentric to a common axis of rotation and which, for the purpose of rotation about the common axis of rotation, are spaced apart from one another by a gap, wherein the at least one row of cylindrical rolling bodies is so arranged that, in the unloaded state of the rolling bearing, the axes of rotation of all the cylindrical rolling bodies of the row lie in a common plane through which the common axis of rotation passes perpendicularly, wherein at least one raceway for the at least one row of cylindrical rolling bodies is in the form of a flat surface of a wire which has on its surface region complementary to the raceway surface an arcuate, convexly curved cross-sectional profile and is thereby inserted at least in some regions into a peripheral recess having a cross-sectional profile complementary thereto in an annular connection element.