Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 401-432
Citer cet article
V. V. Dontsov. The systoles of uniform lattices on a three-dimensional Heisenberg group with a Carnot–Carathéodory metric. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 401-432. http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a4/
@article{FPM_2000_6_2_a4,
author = {V. V. Dontsov},
title = {The~systoles of uniform lattices on a~three-dimensional {Heisenberg} group with {a~Carnot{\textendash}Carath\'eodory} metric},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {401--432},
year = {2000},
volume = {6},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a4/}
}
TY - JOUR
AU - V. V. Dontsov
TI - The systoles of uniform lattices on a three-dimensional Heisenberg group with a Carnot–Carathéodory metric
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2000
SP - 401
EP - 432
VL - 6
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a4/
LA - ru
ID - FPM_2000_6_2_a4
ER -
%0 Journal Article
%A V. V. Dontsov
%T The systoles of uniform lattices on a three-dimensional Heisenberg group with a Carnot–Carathéodory metric
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 401-432
%V 6
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a4/
%G ru
%F FPM_2000_6_2_a4
In this article we calculated a systole constant of a three-nilmanifold. It is obtained from three-dimensional Heisenberg group with Carnot–Carathéodory metric by means of factorization by some uniform discrete subgroup.
