Machine having a rotor which is mounted in a cantilevered fashion on a bearing and has a rotational axis along which a free, subsequently non-mounted rotor end runs starting from the bearing, the rotor end having a rotor end side which is spaced apart from a fixed rotor opposing side by a gap, and which, during operation of the machine when the rotor is rotating, is deflected with respect to the rotational axis as a result of imbalance of the free, non-mounted rotor end, or as a result of externally applied forces, wherein the rotor end side is curved or beveled so as to drop away at least in its end region towards its edge and in a direction towards the bearing.