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
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.
@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 -
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/