Quelques plats pour la métrique de Hofer

Details Quelques plats pour la métrique de Hofer Quelques plats pour la métrique de Hofer

2007-04-19

arxiv.org/abs/0704.2524v3

Journal f\"ur die Reine und Angewandte Mathematik 2008, 620 (2008) 185--193

Mathematics

Differential Geometry

9 pages, minor changes

Scientific paper

10.1515/CRELLE.2008.053

We show, by an elementary and explicit construction, that the group of
Hamiltonian diffeomorphisms of certain symplectic manifolds, endowed with
Hofer's metric, contains subgroups quasi-isometric to Euclidean spaces of
arbitrary dimension.

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