arXiv subjects

Tom Duchamp

Publications and source records attributed to Tom Duchamp.

3 recordsLinked to original sources

arXiv2010

The Group of Contact Diffeomorphisms for Compact Contact Manifolds

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.

math.DG↗

arXiv2010

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

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.

math.DG↗

arXiv2002

Singular Monge-Ampere foliations

This replaces the previous version, by correcting an error in the proof of Theorem 1.4, that was pointed out by the referee.

math.CV↗