The space of Cauchy-Riemann structures on 3-D compact contact manifolds

John Bland; Tom Duchamp

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arXiv · 1007.2037

The space of Cauchy-Riemann structures on 3-D compact contact manifolds

John Bland·Tom Duchamp

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Abstract

We study the action of the group of contact diffeomorphisms on CR deformations of compact three-dimensional CR manifolds. Using anisotropic function spaces and an anisotropic structure on the space of contact diffeomorphisms, we establish the existence of local transverse slices to the action of the contact diffeomorphism group in the neighbourhood of a fixed embeddable strongly pseudoconvex CR structure.

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John Bland, Tom Duchamp. 2010-07-13. The space of Cauchy-Riemann structures on 3-D compact contact manifolds. https://arxiv.org/abs/1007.2037

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