Magnetostatic energy of structures with rotating vector magnetizations

We show that, no matter which of two methods of calculating the change in magnetostatic energy is used, there is no change in energy when a hollow cylinder with a one-sided flux, rotating vector magnetization is placed in a uniform magnetic field. Similarly, there is no energy change when a planar one-sided flux structure is exposed to a uniform field. Only one case has been found where a one-sided flux, spherical structure shows no such energy change. We show this phenomenon to be a result of the rotating magnetization and not a property of one-sided flux structures.