Deformation of fillable CR structures
Jih-Hsin Cheng
Abstract
We study the fillability (or embeddability) of CR structures under the gauge-fixed Cartan flow. We prove that if the initial CR 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.
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