The Group of Contact Diffeomorphisms for Compact Contact Manifolds
Differential Geometry
2010-07-14 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1007.2036,
title = {The Group of Contact Diffeomorphisms for Compact Contact Manifolds},
author = {John Bland and Tom Duchamp},
journal= {arXiv preprint arXiv:1007.2036},
year = {2010}
}
Comments
41 pages