Abstract
Within the framework of a previously proposed relativistic model of a magnetized perfectly conducting material surface without internal stresses, an axisymmetrical equilibriumproblem is considered of the rotation of a stellar envelope, supported by a radial hypersonic stellar wind in a given central gravitational field and dipole magnetic field. In the absence of either the magnetic field or the stellar wind, the equations have an explicit solution; in the general case the solution is obtained numerically. Of special interest are the envelope shapes asymmetric with respect to the equator (relative to the direction of the dipole), which have the greatest stability, in particular, bottle-shaped structures.
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