Realization of manifolds as leaves using graph colorings
Jesús A. Álvarez López, Ramón Barral Lijó · arXiv (Cornell University) · 2020
It is proved that any (repetitive) Riemannian manifold of bounded geometry can be realized as a leaf of some (minimal) Riemannian matchbox manifold without holonomy. Our methods can be adapted to achieve Cantor transversals or a prescribed holonomy covering, but then the manifold may not be realized as a dense leaf.