A Physical Model of the Reeb Foliation

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 09 Jan 2026Embargo end date: 01 Dec 2025 Italy English Publisher:MDPI AGJournal:Axioms, volume 15, page 50 (eissn: 2075-1680,

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Authors: Bande, Gianluca; Franzoni, Gregorio;

doi: 10.3390/axioms15010050 , 10.48550/arxiv.2512.00749

arXiv: 2512.00749

handle: 11584/468528

A Physical Model of the Reeb Foliation

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Abstract

In this paper, after explaining some basic aspects of the modern theory of foliations with the aim of describing the celebrated Reeb foliation, we propose the first construction of a comprehensive physical model of it. The construction of the model is achieved through an implementation of geometric methods for 3D printing.

Country

Italy

Related Organizations

University of Cagliari
Italy

Keywords

53C12, 5304, 00A6,, Differential Geometry (math.DG), FOS: Mathematics, Reeb foliation; 3D printing; 3-sphere, Differential Geometry

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