Deformation of fillable CR structures

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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.
17 pages

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Differential Geometry, Complex Variables, 32G07, 32V30; 32V20, 32V05

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http://salesiana.dossiersoluciones.com/handle/123456789/63288

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0202051
 http://arxiv.org/abs/math/0202051

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arXiv