Totally nondegenerate models and standard manifolds in CR dimension one
  It is shown that two Levi-Tanaka and infinitesimal CR automorphism algebras, associated with a totally nondegenerate model of CR dimension one are isomorphic. As a result, the model surfaces are maximally homogeneous and standard. This gives an affirmative answer in CR dimension one to a certain question formulated by Beloshapka. 
Masoud Sabzevari
math.DG math.CV