A Comparison between Hofer's metric and C¹-topology
classification
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keywords
metrichofertopologybi-invariantclosedcomparisondiffeomorphismgroups
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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.
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