On some completions of the space of hamiltonian maps

2008Bulletin de la Société mathématique de FranceMathematics被引 16开放获取

摘要

In one of his papers, C. Viterbo defined a distance on the set of Hamiltonian diffeomorphisms of R 2n endowed with the standard symplectic form 0 = dp dq. We study the completions of this space for the topology induced by Viterbo's distance and some others derived from it, we study their different inclusions and give some of their properties.

引用本文（GB/T 7714）

Vincent Humilière. On some completions of the space of hamiltonian maps[J]. Bulletin de la Société mathématique de France, 2008.

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DOI：https://doi.org/10.24033/bsmf.2560

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