Metric Foliations on the Euclidean Space

2018/06/25 by Llohann D. Sperança, Sperança, Llohann D., Steffen Weil +1
Mathematics · Physics and Astronomy · #53C20 (Primary) #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1806.09580

openalex publication_date 2018/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We complete a minor gap in Gromoll and Walschap classification of metric fibrations from the Euclidean space, thus completing the classification of Riemannian foliations on Euclidean spaces.

Related

• The proof of Gromoll-Walschap conjecture
• On the Structure of Equidistant Foliations of Euclidean Space
• Foliations
• Characteristic classes for Riemannian foliations
• Topological description of Riemannian foliations with dense leaves