The~systoles of uniform lattices on a~three-dimensional Heisenberg group with a~Carnot--Carath\'eodory metric
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 401-432
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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--Carath\'eodory} metric},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {401--432},
publisher = {mathdoc},
volume = {6},
number = {2},
year = {2000},
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--Carath\'eodory metric JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2000 SP - 401 EP - 432 VL - 6 IS - 2 PB - mathdoc 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--Carath\'eodory metric %J Fundamentalʹnaâ i prikladnaâ matematika %D 2000 %P 401-432 %V 6 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a4/ %G ru %F FPM_2000_6_2_a4
V. V. Dontsov. The~systoles of uniform lattices on a~three-dimensional Heisenberg group with a~Carnot--Carath\'eodory metric. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 401-432. http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a4/