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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Last modified: September 1, 2000