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arXiv · 1905.02627

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

Yoshihiro Sugimoto
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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.

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Yoshihiro Sugimoto. 2019-05-02. A Comparison between Hofer's metric and C^1-topology. https://arxiv.org/abs/1905.02627

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