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

DOI10.1016/j.difgeo.2023.101996zbMath1523.57017arXiv2211.00587OpenAlexW4361030093MaRDI QIDQ6040643

Karla Garcia

Publication date: 19 May 2023

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.00587

zbMATH Keywords

moduli spaceflat manifoldsBieberbach groupssubgroups of \(SL(2, \mathbb{Z})\)

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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• Moduli spaces of Riemannian metrics
• Bieberbach groups and flat manifolds
• The cohomology of \(SL_3(Z)\)
• Teichmüller theory and collapse of flat manifolds
• Local and global equivalence for flat affine manifolds with parallel geometric structures
• On the topology of moduli spaces of non-negatively curved Riemannian metrics
• MODULI SPACES OF 3-DIMENSIONAL FLAT MANIFOLDS
• Differential Topology
• DEFORMATION SPACES OF 3-DIMENSIONAL FLAT MANIFOLDS

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