English

Normal form for pseudo-Einstein contact forms and intrinsic CR normal coordinates

Differential Geometry 2022-08-03 v3 Complex Variables

Abstract

We give a normal form for pseudo-Einstein contact forms and apply it to construct intrinsic CR normal coordinates parametrized by the structure group of CR geometry. The proof is based on the construction of parabolic normal coordinates by Jerison and Lee.

Cite

@article{arxiv.2112.08079,
  title  = {Normal form for pseudo-Einstein contact forms and intrinsic CR normal coordinates},
  author = {Kengo Hirachi},
  journal= {arXiv preprint arXiv:2112.08079},
  year   = {2022}
}

Comments

12 pages; minor corrections. Non of the results are changed

R2 v1 2026-06-24T08:18:20.744Z