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 of the stator assemblies includes a magnetically soft core. At least one of the stator assemblies includes a magnetically soft core with several radially projecting teeth arranged distributed in a circumferential direction, and several coils likewise arranged distributed in the circumferential direction. Two respective teeth of the magnetically soft core that are successive in a circumferential direction are connected to each other by way of a connecting section of the core. A permanent magnet assembly is disposed axially between the two magnetically soft cores. The stator assembly is configured such that one of the respective connecting sections is wound with one of the respective coils. The permanent magnet assembly is part of the rotor.