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

Published 1 Nov 2022 in math.DG | (2211.00587v1)

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.

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