Corro Tapia, Diego and Galaz-Garcia, Fernando
2025.
Myers–Steenrod theorems for metric and singular Riemannian foliations.
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
21
, 106.
10.3842/SIGMA.2025.106
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Official URL: https://doi.org/10.3842/SIGMA.2025.106
Abstract
We prove that the group of isometries preserving a metric foliation on a closed Alexandrov space X is a closed subgroup of the isometry group of X. We obtain a sharp upper bound for the dimension of this subgroup and show that, when equality holds, the foliations that realize this upper bound are induced by fiber bundles whose fibers are round spheres or projective spaces. As a corollary, singular Riemannian foliations that realize the upper bound are induced by smooth fiber bundles whose fibers are round spheres or projective spaces.
| Item Type: | Article |
|---|---|
| Date Type: | Published Online |
| Status: | Published |
| Schools: | Schools > Mathematics |
| ISSN: | 1815-0659 |
| Funders: | UKRI, DFG, DGAPA-UNAM |
| Date of First Compliant Deposit: | 7 January 2026 |
| Date of Acceptance: | 30 November 2025 |
| Last Modified: | 09 Jan 2026 09:14 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/183622 |
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