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arXiv · 2002.05757

Subspace foliations and collapse of closed flat manifolds

Renato G. Bettiol·Andrzej Derdzinski·Roberto Mossa·Paolo Piccione
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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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Renato G. Bettiol, Andrzej Derdzinski, Roberto Mossa, Paolo Piccione. 2020-02-13. Subspace foliations and collapse of closed flat manifolds. https://doi.org/10.1002/mana.202000156

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