Gromov's alternative, contact shape, and C^0-rigidity of contact diffeomorphisms
Symplectic Geometry
2013-10-03 v1
Abstract
We prove that the group of contact diffeomorphisms is closed in the group of all diffeomorphisms in the C^0-topology. By Gromov's alternative, it suffices to exhibit a diffeomorphism that can not be approximated uniformly by contact diffeomorphisms. Our construction uses Eliashberg's contact shape.
Cite
@article{arxiv.1310.0527,
title = {Gromov's alternative, contact shape, and C^0-rigidity of contact diffeomorphisms},
author = {Stefan Müller and Peter Spaeth},
journal= {arXiv preprint arXiv:1310.0527},
year = {2013}
}
Comments
9 pages