The Group of Contact Diffeomorphisms for Compact Contact Manifolds - Mathematics > Differential GeometryReport as inadecuate




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Abstract: For a compact contact manifold it is shown that the anisotropic Folland-Steinfunction spaces form an algebra. The notion of anisotropic regularity isextended to define the space of Folland-Stein contact diffeomorphisms, which isshown to be a topological group under composition and a smooth Hilbertmanifold. These results are used in a subsequent paper to analyze the action ofthe group of contact diffeomorphisms on the space of CR structures on acompact, three dimensional manifold.



Author: John Bland, Tom Duchamp

Source: https://arxiv.org/







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