FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 2, PAGES 401-432

**The systoles of uniform lattices on a three-dimensional
Heisenberg group with a Carnot--Carathéodory metric**

V. V. Dontsov

Abstract

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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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published in Russian.

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Last modified: September 1, 2000