English

The space of Cauchy-Riemann structures on 3-D compact contact manifolds

Differential Geometry 2010-07-14 v1

Abstract

We study the action of the group of contact diffeomorphisms on CR deformations of compact three-dimensional CR manifolds. Using anisotropic function spaces and an anisotropic structure on the space of contact diffeomorphisms, we establish the existence of local transverse slices to the action of the contact diffeomorphism group in the neighbourhood of a fixed embeddable strongly pseudoconvex CR structure.

Keywords

Cite

@article{arxiv.1007.2037,
  title  = {The space of Cauchy-Riemann structures on 3-D compact contact manifolds},
  author = {John Bland and Tom Duchamp},
  journal= {arXiv preprint arXiv:1007.2037},
  year   = {2010}
}

Comments

32 pages