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

2023/06/21 by Karla Selene López García, Garcia, Karla, Oscar Palmas +1 · 1 citation
Mathematics · Physics and Astronomy · #57K20 #58D27 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2306.12592

openalex publication_date 2023/06/21 · openalex created_date 2023/06/24 · openalex updated_date 2026/07/28

Abstract

We give the algebraic and topological description of the moduli spaces of flat metrics for the 4-dimensional closed flat manifolds with two or three generators in their holonomy.

Cited by

• Moduli spaces of flat Riemannian metrics on orbifolds

Related

• Moduli spaces of flat Riemannian metrics on 3- and 4-dimensional closed manifolds
• Closed flat Riemannian 4-manifolds
• Conformally flat metrics on 4-manifolds
• Moduli spaces of flat Riemannian metrics on orbifolds
• Canonical metrics on 3-manifolds and 4-manifolds