On properly essential classical conformal diffeomorphism groups
Symplectic Geometry
2011-08-01 v1
Abstract
We prove that various classical conformal diffeomorphism groups, which are known to be essential [1], are in fact properly essential. This is a consequence of a local criterion on a conformal diffeomorphism in the form of a cohomological equation. Furthermore, we study the orbit of a tensor field under the action of the conformal diffeomorphism group for these classical conformal structures. On every closed contact manifold, we find conformal contact forms that are not diffeomorphic.
Cite
@article{arxiv.1107.5861,
title = {On properly essential classical conformal diffeomorphism groups},
author = {Stefan Müller and Peter Spaeth},
journal= {arXiv preprint arXiv:1107.5861},
year = {2011}
}
Comments
13 pages