Metric Foliations on the Euclidean Space
Llohann D. Speran\c{c}a, Steffen Weil
TL;DR
This paper finalizes the classification of Riemannian foliations on Euclidean spaces by completing a previously missing case in the classification of metric fibrations, advancing the understanding of geometric structures.
Contribution
It provides a complete classification of metric fibrations on Euclidean space, filling a gap in the existing mathematical framework.
Findings
Complete classification of Riemannian foliations on Euclidean spaces
Resolved a minor gap in Gromoll and Walschap's classification
Enhanced understanding of metric fibrations in Euclidean geometry
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.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Advanced Differential Equations and Dynamical Systems