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Metric properties of the group of area preserving diffeomorphisms
Auteur(s)
Gambaudo, Jean-Marc
Date de parution
2001
In
Transactions of the American Mathematical Society
Vol.
11
No
353
De la page
4661
A la page
4672
Résumé
Area preserving diffeomorphisms of the 2-disk which are identity near the boundary form a group D-2 which can be equipped, using the L-2-norm on its Lie algebra, with a right invariant metric. With this metric the diameter of D-2 is infinite. In this paper we show that D-2 contains quasi-isometric embeddings of any finitely generated free group and any finitely generated abelian free group.
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Type de publication
journal article
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