A radial magnetic bearing includes an axis, a stator and a rotor. The stator includes at least two stator assemblies axially spaced from one another. Each stator assembly includes a magnetically soft core. At least one of the stator assemblies includes one said magnetically soft core with several radially projecting teeth arranged distributed in the circumferential direction, and several coils likewise arranged distributed in the circumferential direction. Two respective teeth of the magnetically soft core that are successive in the circumferential direction are connected to each other by a connecting section of the core. The magnetic bearing includes a permanent magnet assembly disposed axially between the two magnetically soft cores. At least one said stator assembly is embodied such that one of the respective connecting sections is wound with one of the respective coils.