A Comparison between Hofer's metric and C^1-topology

Abstract

Hofer's metric is a bi-invariant metric on Hamiltonian diffeomorphism groups. Our main result shows that the topology induced from Hofer's metric is weaker than C^1-topology if the symplectic manifold is closed.

Cited by in corpus (1)

• No $C^1$-recurrence of iterations of symplectomorphisms