A rolling bearing with at least two annular connecting elements (2, 3), which are concentric to a main rotational axis (h) of the bearing and spaced apart from one another by a gap, for connection to a first machine part or plant part on the one hand, and to a second machine part or facility part or chassis or fundament on the other hand, wherein the two connecting elements (2,3) overlap each other in the region of the gap in radial direction with respect to the main rotational axis (h) of the rolling bearing as a result of a connecting element (2,3) being provided with a circumferential groove at its area facing the gap, into which another collar integrated with another connecting element (3,2) engages by forming the gap, and wherein at least one raceway is arranged in areas of the gap overlapping each other radially on each of the two connecting elements (2, 3), along which one or more rows of rolling elements (5,6) are rolling, a) the surfaces of which are exclusively rotationally symmetrical with respect to one single, distinguished axis (z) of rotational symmetry of the respective rolling element (5,6), which is oriented radially with respect to the main rotational axis (h) of the rolling bearing, and wherein said rolling elements (5,6) b) have a length in the direction of their axis (z) of rotational symmetry, as well as c) a maximum radius (r max) radial to their axis (z) of rotational symmetry, and further d) a lateral surface double convexly curved with a transverse radius of curvature (r q) in a direction tangential to the axis (z) of rotational symmetry, which corresponds to the respective distance (r R) of the lateral surface to the axis (z) of rotational symmetry in the respective point of the lateral surface of the respective rolling element (5,6) and at best is equal to the maximum radius (r max) of the rolling element (5,6) along an equator line (Ä) of the regarding rolling element (5,6), but otherwise smaller: r q ≤ r max characterized in that e) the convexly curved lateral surface of said rolling element (5,6) is provided with a radius (r d) of longitudinal curvature in a direction parallel to the axis (z) of rotational symmetry of the respective rolling body (5,6), which is constant on the entire lateral surface and is equal to or smaller than the maximum radius (r max) of the rolling element (5,6): r q ≤ r max f) wherein half the length of the rolling element (5,6) is smaller than the maximum radius (r max) of the rolling element (5,6): 1⁄2I R < r max g) and wherein the collar on its basis transitions via an obtuse-angled edge like a bevelled fillet into a subsequent area (12,13) of the surface of the relevant connecting element (2,3) facing the the gap a) the surfaces of which are exclusively rotationally symmetrical with respect to one single, distinguished axis (z) of rotational symmetry of the respective rolling element (5,6), which is oriented radially with respect to the main rotational axis (h) of the rolling bearing, b) have a length in the direction of their axis (z) of rotational symmetry, as well as c) a maximum radius (r max) radial to their axis (z) of rotational symmetry, and further d) a lateral surface double convexly curved with a transverse radius of curvature (r q) in a direction tangential to the axis (z) of rotational symmetry, which corresponds to the respective distance (r R) of the lateral surface to the axis (z) of rotational symmetry in the respective point of the lateral surface of the respective rolling element (5,6) and at best is equal to the maximum radius (r max) of the rolling element (5,6) along an equator line (Ä) of the regarding rolling element (5,6), but otherwise smaller: r q ≤ r max e) the convexly curved lateral surface of said rolling element (5,6) is provided with a radius (r d) of longitudinal curvature in a direction parallel to the axis (z) of rotational symmetry of the respective rolling body (5,6), which is constant on the entire lateral surface and is equal to or smaller than the maximum radius (r max) of the rolling element (5,6): r q ≤ r max f) wherein half the length of the rolling element (5,6) is smaller than the maximum radius (r max) of the rolling element (5,6): 1⁄2I R < r max g) and wherein the collar on its basis transitions via an obtuse-angled edge like a bevelled fillet into a subsequent area (12,13) of the surface of the relevant connecting element (2,3) facing the the gap