HYPERBOLIC BUILDINGS, CONFORMAL DIMENSION AND MOSTOW RIGIDITY

Authors
BOURDON M
Citation
M. Bourdon, HYPERBOLIC BUILDINGS, CONFORMAL DIMENSION AND MOSTOW RIGIDITY, Geometric and functional analysis, 7(2), 1997, pp. 245-268
Citations number
27
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Geometric and functional analysis → ACNP
ISSN journal
1016443X
Volume
7
Issue
2
Year of publication
1997
Pages
245 - 268
Database
ISI
SICI code
1016-443X(1997)7:2<245:HBCDAM>2.0.ZU;2-J
Abstract
We adapt to a family of hyperbolic buildings of dimension two, some ge ometric quasi-conformal arguments which are classical in the case of r ank one non compact symmetric spaces. In particular we compute a numer ic quasi-isometric invariant : Pansu's conformal dimension of their bo undaries. We also prove that their lattices are Mostow-rigid in the cl assical sense.