TOPOLOGY OF COHERENT PRECESSION IN SUPERFLUID HE-3-B

Coherently precessing states in the He-3-B are considered within the general formalism of broken symmetry. The 6-dimensional space of the conventional stationary He-3-B. The degeneracy states are described by two rotational matrices instead of one matrix R(ai) of the stationary B-phase states. The nontrivial topology of the extended space together with the hierarchy of interactions and length scales gives rise to a variety of new topologically stable objects. Continuous and discrete symmetries of the Lagrangian describing the spin dynamics and discussed, which lead to the relation between the properties of the precessing and stationary states.