Systoles on Heisenberg groups with Carnot-Caratheodory metrics

Authors
Dontsov, VV
Citation
Vv. Dontsov, Systoles on Heisenberg groups with Carnot-Caratheodory metrics, SB MATH, 192(3-4), 2001, pp. 347-374
Citations number
18
Categorie Soggetti
Mathematics
Journal title
SBORNIK MATHEMATICS
ISSN journal
10645616 → ACNP
Volume
192
Issue
3-4
Year of publication
2001
Pages
347 - 374
Database
ISI
SICI code
1064-5616(200103/04)192:3-4<347:SOHGWC>2.0.ZU;2-8
Abstract
The systolic properties of the nilmanifolds N2n+1 associated with the highe r Heisenberg groups H2+1 are studied. Effective estimates of the systolic c onstants sigma (N2n+1) in the Carnot-Caratheodory geometry, as functions of the parameters defining a uniform lattice on H2n+1, are obtained.