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arxiv: 1005.5722 · v2 · pith:O2A7MSN4new · submitted 2010-05-31 · 🧮 math.SG · math.DG

Bounded symplectic diffeomorphisms and split flux groups

classification 🧮 math.SG math.DG
keywords symplecticfluxboundedgroupmanifoldspecialbyproductclass
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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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