ISOPERIMETRIC-INEQUALITIES FOR LATTICES IN SEMISIMPLE LIE-GROUPS OF RANK-2

Citation
E. Leuzinger et C. Pittet, ISOPERIMETRIC-INEQUALITIES FOR LATTICES IN SEMISIMPLE LIE-GROUPS OF RANK-2, Geometric and functional analysis, 6(3), 1996, pp. 489-511
Citations number
45
Categorie Soggetti
Mathematics, Pure",Mathematics
ISSN journal
1016443X
Volume
6
Issue
3
Year of publication
1996
Pages
489 - 511
Database
ISI
SICI code
1016-443X(1996)6:3<489:IFLISL>2.0.ZU;2-O
Abstract
Let G be a connected semisimple Lie group with finite center. Let Gamm a be an irreducible non-uniform lattice in G. We show that if the real rank of G is 2 then the Dehn (or filling) function of Gamma is expone ntial.