%0 Journal Article %T Associated Families of Immersions of Three Dimensional CR Manifolds in Euclidean Spaces %A Andrea Altomani %A Marie-Am¨Ślie Lawn %J Mathematics %D 2012 %I arXiv %X 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. %U http://arxiv.org/abs/1202.4624v1