Rigidity for Quasi-Möbius Group Actions

Bonk, Mario; Kleiner, Bruce

J. Differential Geom., Tome 60 (2002) no. 1, p. 81-106 / Harvested from Project Euclid

Résumé

If a group acts by uniformly quasi-Möbius homeomorphisms on a compact Ahlfors n-regular space of topological dimension n such that the induced action on the space of distinct triples is cocompact, then the action is quasisymmetrically conjugate to an action on the standard n-sphere by Möbius transformations.

Publié le : 2002-05-14
Classification:

@article{1090351321,
     author = {Bonk, Mario and Kleiner, Bruce},
     title = {Rigidity for Quasi-M\"obius Group Actions},
     journal = {J. Differential Geom.},
     volume = {60},
     number = {1},
     year = {2002},
     pages = { 81-106},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1090351321}
}

Bonk, Mario; Kleiner, Bruce. Rigidity for Quasi-Möbius Group Actions. J. Differential Geom., Tome 60 (2002) no. 1, pp.  81-106. http://gdmltest.u-ga.fr/item/1090351321/