Realization of manifolds as leaves using graph colorings
Geometric Topology
2024-12-17 v4 Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.2002.08662,
title = {Realization of manifolds as leaves using graph colorings},
author = {Jesús A. Álvarez López and Ramón Barral Lijó},
journal= {arXiv preprint arXiv:2002.08662},
year = {2024}
}
Comments
25 pages. Version accepted for publication in the Journal of the Mathematical Society of Japan