English

Totally nondegenerate models and standard manifolds in CR dimension one

Differential Geometry 2016-10-28 v1 Complex Variables

Abstract

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.

Keywords

Cite

@article{arxiv.1610.08764,
  title  = {Totally nondegenerate models and standard manifolds in CR dimension one},
  author = {Masoud Sabzevari},
  journal= {arXiv preprint arXiv:1610.08764},
  year   = {2016}
}