Corro Tapia, Diego
2026.
Collapsing regular Riemannian foliations with flat leaves.
Revista Matemática Iberoamericana
10.4171/rmi/1606
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Official URL: https://doi.org/10.4171/rmi/1606
Abstract
In this manuscript, we present how to collapse a manifold equipped with a closed flat regular Riemannian foliation with leaves of positive dimension, while keeping the sectional curvature uniformly bounded from above and below. From this deformation, we show that in the case when the manifold is compact and simply connected, the foliation is given by torus actions. This gives a geometric characterization of aspherical regular Riemannian foliations given by torus actions.
| Item Type: | Article |
|---|---|
| Date Type: | Published Online |
| Status: | In Press |
| Schools: | Schools > Mathematics |
| Publisher: | European Mathematical Society |
| ISSN: | 0213-2230 |
| Date of First Compliant Deposit: | 3 February 2026 |
| Date of Acceptance: | 13 January 2026 |
| Last Modified: | 03 Feb 2026 13:15 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/184354 |
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