bearing rings 2 3 are made from steel with a modulus of elasticity of 208 gpa the density of the material with the shape memory properties from which the rolling body 4 is made is between 6 and 7 g cm 3 and is thus considerably lower than the density of steel accordingly centrifugal forces occurring during the operation of the rolling bearing 1 are significantly reduced in comparison with conventional rolling bearings with rolling bodies made from steel the relationships between osculation s in of the rolling bearing 1 maximum pressure p in mpa in contact between rolling bodies 4 and raceway 5 as well as modulus of elasticity of the rolling bodies 4 are shown in fig2 properties of a conventional grooved ball bearing which has balls made from common rolling bearing steel for example 100cr6 are shown by a dashed line in fig2 at higher values of osculation that is for flatter raceways the maximum pressure in the rolling contact increases significantly this relationship is basically visible also in the rolling bearing 1 according to the invention according to fig1 as described in fig2 by a rising solid line due to the significantly lower modulus of elasticity of the rolling bodies.