Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Realization of manifolds as leaves using graph colorings
Jesús A. Álvarez LópezRamón Barral Lijó
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2025 年 77 巻 3 号 p. 727-761

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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.

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© 2025 The Mathematical Society of Japan
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