Bounded symplectic diffeomorphisms and split flux groups

2010/05/31 by Campos-Apanco, Carlos, Pedroza, Andrés
#Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1005.5722

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.

Related

• On the Flux Conjectures
• An enlargement of some symplectic objects
• Relative Flux Homomorphism in Symplectic Geometry
• Remarks on the flux groups
• A nonextension result on the spectral metric