Deformation of fillable CR structures
arXiv:math/0202051
Abstract
We study the fillability (or embeddability) of structures under the gauge-fixed Cartan flow. We prove that if the initial 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.
17 pages