A Nonextension Result on the Spectral Metric

Abstract

The spectral metric, defined by Schwarz and Oh using Floertheoretical method, is a bi-invariant metric on the Hamiltonian diffeomorphism group. We show in this note that for certain symplectic manifolds, this metric can not be extended to a bi-invariant metric on the full group of symplectomorphisms. We also study the bounded isometry conjecture of Lalonde… (More)

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