Subspace foliations and collapse of closed flat manifolds
arXiv:2002.05757 · doi:10.1002/mana.202000156
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.
LaTeX2e, 21 pages, final (revised) version. To appear in Math. Nachr