English

Deformation of fillable CR structures

Differential Geometry 2007-05-23 v1 Complex Variables

Abstract

We study the fillability (or embeddability) of CRCR structures under the gauge-fixed Cartan flow. We prove that if the initial CRCR structure is fillable with nowhere vanishing Tanaka-Webster curvature and free torsion, then it keeps having the same property after a short time. In the Appendix, we show the uniqueness of the solution to the gauge-fixed Cartan flow.

Cite

@article{arxiv.math/0202051,
  title  = {Deformation of fillable CR structures},
  author = {Jih-Hsin Cheng},
  journal= {arXiv preprint arXiv:math/0202051},
  year   = {2007}
}

Comments

17 pages

R2 v1 2026-07-22T16:43:08.221Z