Subspace foliations and collapse of closed flat manifolds

Bettiol, Renato G.; Derdziński, Andrzej; Mossa, Roberto; Piccione, Paolo

doi:10.48550/arxiv.2002.05757

2020

DOI: 10.48550/arxiv.2002.05757

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Subspace foliations and collapse of closed flat manifolds

Renato G. Bettiol¹,

Andrzej Derdziński²,

Roberto Mossa³

et al.

Abstract: We study relations between certain totally geodesic foliations of a closed flat manifold and its collapsed Gromov-Hausdorff limits. Our main results explicitly identify such collapsed limits as flat orbifolds, and provide algebraic and geometric criteria to determine whether they are singular.

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Subspace foliations and collapse of closed flat manifolds

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References 14 publications

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