This article is cited in 2 papers

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

V. V. Dontsov

M. V. Lomonosov Moscow State University

Abstract: 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.

UDC: 514.774.8+514.174.6

Received: 01.10.1998

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