A skiving tool for manufacturing a rotationally symmetrical periodical structure on a work piece by means of a power skiving method. The skiving tool comprises a base body comprising a central rotation axis and a plurality of receiving openings and a plurality of cutter bars, fewer than or equal to the number of receiving openings. Each of the receiving openings has an elongate shape having a longitudinal axis, and the receiving openings can be arranged uniformly around the central rotation axis. The longitudinal axes of the receiving openings are generators of a rotation hyperboloid, which is arranged rotationally symmetrical to the central rotation axis.