The Group of Contact Diffeomorphisms for Compact Contact Manifolds

Details The Group of Contact Diffeomorphisms for Compact Contact Manifolds The Group of Contact Diffeomorphisms for Compact Contact Manifolds

2010-07-13

arxiv.org/abs/1007.2036v1

Mathematics

Differential Geometry

41 pages

Scientific paper

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

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