Subspace foliations and collapse of closed flat manifolds

Renato G. Bettiol, Andrzej Derdzinski, Roberto Mossa and Paolo Piccione

Mathematische Nachrichten, 2022, vol. 295, issue 12, 2338-2356

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.

Date: 2022
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https://doi.org/10.1002/mana.202000156

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