Examples of homogeneous Riemannian manifolds not quasi-isometric to any finitely generated group

Authors
Chaluleau, B Pittet, C
Citation
B. Chaluleau et C. Pittet, Examples of homogeneous Riemannian manifolds not quasi-isometric to any finitely generated group, CR AC S I, 332(7), 2001, pp. 593-595
Citations number
11
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
332
Issue
7
Year of publication
2001
Pages
593 - 595
Database
ISI
SICI code
0764-4442(20010401)332:7<593:EOHRMN>2.0.ZU;2-2
Abstract
We show in this Note that a 1-connected nilpotent graded Lie group is quasi isometric to a finitely generated group if and only if it contains lattice s. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsev ier SAS.