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

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, which completes the analysis made in García (Differ Geom Appl 88:101996-18, 2023).

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Journal
Annali di Matematica Pura ed Applicata (1923 -)
Published
2025-02-26
DOI
https://doi.org/10.1007/s10231-024-01514-3
Primary Topic
Geometric Analysis and Curvature Flows
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article
Field-Weighted Citation Impact
0.00

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article

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

Karla García, Oscar Palmas
Annali di Matematica Pura ed Applicata (1923 -)
Geometric Analysis and Curvature Flows
article

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

Karla García, Oscar Palmas
article en

Abstract

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, which completes the analysis made in García (Differ Geom Appl 88:101996-18, 2023).

Annali di Matematica Pura ed Applicata (1923 -)Vol. 204(3)
Universidad Autónoma de la Ciudad de México (MX), Universidad Nacional Autónoma de México (MX)
Consejo Nacional de Ciencia y Tecnología, Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México
Openalex Percentile: Top 94%
Geometric Analysis and Curvature Flows
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