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Deformation of fillable CR structures

Jih-Hsin Cheng
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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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Jih-Hsin Cheng. 2002-02-06. Deformation of fillable CR structures. https://arxiv.org/abs/math/0202051

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