Bounded symplectic diffeomorphisms and split flux groups

Details Bounded symplectic diffeomorphisms and split flux groups Bounded symplectic diffeomorphisms and split flux groups

2010-05-31

arxiv.org/abs/1005.5722v2

Mathematics

Symplectic Geometry

10 pages. v2: extensive rewriting, to be appear in Proc. of the AMS

Scientific paper

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.

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