A magnetic gap is provided between a permanent magnet of a rotor and an
auxiliary magnet pole portion which is arranged adjacent to the permanent
magnet in a peripheral direction. A gradual change in a magnetic flux
density distribution of a surface of the rotor is obtained and a cogging
torque and a torque pulsation are restrained. By obtaining a reluctance
torque according to the auxiliary magnetic pole, a permanent magnet
electric rotating machine in which the cogging torque and the torque
pulsation are restrained can be obtained and further an electromotive
vehicle having the permanent magnet electric rotating machine can be
provided.