Realization of manifolds as leaves using graph colorings
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 losing the density of our leaf.
Authors
- Ramón Barral Lijó (ORCID: https://orcid.org/0000-0002-5597-1184)
- Jesús A. Álvarez López (ORCID: https://orcid.org/0000-0001-6056-2847)
Institutions
- Universidade de Santiago de Compostela (ES)
- Universidad Politécnica de Madrid (ES)
Publication Details
- Journal
- Journal of the Mathematical Society of Japan
- Published
- 2025-03-26
- DOI
- https://doi.org/10.2969/jmsj/91529152
- Citations
- 1
- Primary Topic
- Mathematics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00