Associated Families of Immersions of Three Dimensional CR Manifolds in   Euclidean Spaces
  We consider isometric immersions in arbitrary codimension of three-dimensional strongly pseudoconvex pseudo-hermitian CR manifolds into the Euclidean space $\mathbb{R}^n$ and generalize in a natural way the notion of associated family. We show that the existence of such deformations turns out to be very restrictive and we give a complete classification. 
Andrea Altomani, Marie-Am\'elie Lawn
math.DG