Moduli spaces of flat Riemannian metrics on 3- and 4-dimensional closed manifolds

Abstract

We describe the topology of the moduli spaces of flat metrics for all the 3-dimensional closed manifolds. We give an algebraic description of the moduli spaces for the 4-dimensional closed flat manifolds with a single generator in their holonomy and, in some cases, also study their topology.

18 pages, 4 figures