Bounded symplectic diffeomorphisms and split flux groups
Symplectic Geometry
2011-04-04 v2 Differential Geometry
Abstract
We prove the bounded isometry conjecture of F. Lalonde and L. Polterovich for a special class of closed symplectic manifolds. As a byproduct, it is shown that the flux group of a product of these special symplectic manifold is isomorphic to the direct sum of the flux group of each symplectic manifold.
Keywords
Cite
@article{arxiv.1005.5722,
title = {Bounded symplectic diffeomorphisms and split flux groups},
author = {Carlos Campos-Apanco and Andrés Pedroza},
journal= {arXiv preprint arXiv:1005.5722},
year = {2011}
}
Comments
10 pages. v2: extensive rewriting, to be appear in Proc. of the AMS