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

2022/11/01 by Karla Selene López García, Garcia, Karla · 1 citation
Mathematics · #57K20 #58D27 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2211.00587

openalex publication_date 2022/11/01 · openalex created_date 2022/11/07 · openalex updated_date 2026/07/28

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.

Cited by

• Moduli spaces of flat Riemannian metrics on orbifolds

Related

• Moduli spaces of flat Riemannian metrics on 4-dimensional closed manifolds
• Moduli spaces of flat Riemannian metrics on orbifolds
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• Closed flat Riemannian 4-manifolds