Distortion in transformation groups
نویسندگان
چکیده
منابع مشابه
Strong distortion in transformation groups
We discuss boundedness and distortion in transformation groups. We show that the groups Diff0(R) and Diff (Rn) have the strong distortion property, whenever 0 ≤ r ≤ ∞, r 6= n+ 1. This implies in particular that every abstract length function on these groups is bounded. With related techniques we show that, for M a closed manifold or homeomorphic to the interior of a compact manifold with bounda...
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We exhibit rigid rotations of spheres as distortion elements in groups of diffeomorphisms, thereby answering a question of Handel. We also show that every homeomorphism of a sphere is, in a suitable sense, as distorted as possible in the group Homeo(Sn), thought of as a discrete group. An appendix by Y. de Cornulier shows that Homeo(Sn) has the strong boundedness property, recently introduced b...
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2006
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2006.10.267