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

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

2010-07-13

arxiv.org/abs/1007.2037v1

Mathematics

Differential Geometry

32 pages

Scientific paper

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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