English

The rigidity of totally nondegenerate model CR manifolds

Differential Geometry 2017-02-28 v2 Complex Variables

Abstract

In this paper, we prove that every real analytic totally nondegenerate model CR manifold of length >= 3 has rigidity. This result was actually conjectured before by Valerii Beloshapka as the so-called "maximum conjecture". It follows that the transformation Lie group of all CR automorphisms associated with each of the mentioned models does not include any nonlinear map.

Keywords

Cite

@article{arxiv.1702.03213,
  title  = {The rigidity of totally nondegenerate model CR manifolds},
  author = {Masoud Sabzevari and Amir Hashemi},
  journal= {arXiv preprint arXiv:1702.03213},
  year   = {2017}
}

Comments

Observing some problems in some certain part of the paper