Geodesic
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. 
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     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},
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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/