Realization of manifolds as leaves using graph colorings

Fuente: arXiv
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Auteurs principaux: López, Jesús A. Álvarez, Lijó, Ramón Barral
Format: Preprint
Publié: 2020
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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