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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2002.08662 |
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| _version_ | 1866912156942860288 |
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| author | López, Jesús A. Álvarez Lijó, Ramón Barral |
| author_facet | López, Jesús A. Álvarez Lijó, Ramón Barral |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_08662 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Realization of manifolds as leaves using graph colorings López, Jesús A. Álvarez Lijó, Ramón Barral Geometric Topology Dynamical Systems 57R30 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. |
| title | Realization of manifolds as leaves using graph colorings |
| topic | Geometric Topology Dynamical Systems 57R30 |
| url | https://arxiv.org/abs/2002.08662 |