Work

Realization of manifolds as leaves using graph colorings

Year: 2025

Type: article

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 losing the density of our leaf.

Source: Journal of the Mathematical Society of Japan

DOI: 10.2969/jmsj/91529152

Authors: Jesús A. ÁLVAREZ LÓPEZ, Ramón BARRAL LIJÓ

Institutions: Universidade de Santiago de Compostela, Universidad Politécnica de Madrid

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Canon Foundation in Europe, Ministerio de Ciencia, Innovación y Universidades, Xunta de Galicia, Agencia Estatal de Investigación

Awards: G1496055848, G1625072115, G5237172297, G5296777416, G8814747429