6533b873fe1ef96bd12d4b71
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Metric properties of the group of area preserving diffeomorphisms
Jean-marc GambaudoMichel Benaïmsubject
CombinatoricsApplied MathematicsGeneral MathematicsQuasi-isometryLie algebraFree groupBraidFinitely-generated abelian groupAbelian groupInvariant (mathematics)Mathematicsdescription
Area preserving cliffeoinorpliisms of the 2-disk which are identity near the boundary form a group D2 wllich can be equipped, usin-g tlhe L2nlorm on its Lie algebra, with a right invariant metric. Witll tllis metric the diameter of D2 is infinite. In this paper we sl-iow that D2 contains quasiisometric embeddings of any finitely generated free group and any finitely generated abelian free group.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-06-14 | Transactions of the American Mathematical Society |