Bounded symplectic diffeomorphisms and split flux groups

Campos-Apanco, Carlos; Pedroza, Andrés

doi:10.1090/S0002-9939-2012-11162-1

Bounded symplectic diffeomorphisms and split flux groups
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by Carlos Campos-Apanco and Andrés Pedroza

Proc. Amer. Math. Soc. 140 (2012), 2883-2892

DOI: https://doi.org/10.1090/S0002-9939-2012-11162-1

Published electronically: January 17, 2012

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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 manifolds is isomorphic to the direct sum of the flux group of each symplectic manifold.

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