Subspace foliations and collapse of closed flat manifolds
Differential Geometry
2022-12-27 v2 Metric Geometry
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.
Cite
@article{arxiv.2002.05757,
title = {Subspace foliations and collapse of closed flat manifolds},
author = {Renato G. Bettiol and Andrzej Derdzinski and Roberto Mossa and Paolo Piccione},
journal= {arXiv preprint arXiv:2002.05757},
year = {2022}
}
Comments
LaTeX2e, 21 pages, final (revised) version. To appear in Math. Nachr