The Ambrose-Singer theorem for cohomogeneity one Riemannian manifolds

Simple item page
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemáticas
dc.contributor.authorCarmona Jiménez, José Luis
dc.contributor.authorCastrillón López, Marco
dc.contributor.authorDíaz Ramos, José Carlos
dc.date.accessioned2025-11-24T13:26:53Z
dc.date.available2025-11-24T13:26:53Z
dc.date.issued2025-07-23
dc.description.abstractWe characterize regular isometric actions whose principal orbits are hypersurfaces through the existence of a linear connection satisfying a set of covariant equations in the same spirit as the Ambrose-Singer Theorem for homogeneous spaces. These results are then used to describe isometric cohomogeneity one foliations in terms of such connections. Finally, we provide explicit examples of these objects in Euclidean spaces and real hyperbolic spaces.
dc.description.peerreviewedSI
dc.identifier.citationCarmona Jiménez, J.L., Castrillón López, M. & Díaz-Ramos, J.C. The Ambrose-Singer Theorem for Cohomogeneity One Riemannian Manifolds. Transformation Groups (2025). https://doi.org/10.1007/s00031-025-09927-x
dc.identifier.doi10.1007/s00031-025-09927-x
dc.identifier.essn1531-586X
dc.identifier.issn1083-4362
dc.identifier.urihttps://hdl.handle.net/10347/43989
dc.journal.titleTransformation Groups
dc.language.isoeng
dc.publisherSpringer
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022–142682OB-I00/ES/ESTRUCTURAS GEOMETRICAS, TOPOLOGICAS Y COMBINATORIAS ASOCIADAS A SISTEMAS DINAMICOS
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2024-2027/PID2024-156578NB-I00/ES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2022-138988NB-I00/ES/SUBVARIEDADES, CURVATURA Y ECUACIONES GEOMETRICAS DESDE LA PERSPECTIVA DE LA SIMETRIA
dc.relation.projectIDinfo:eu-repo/grantAgreement/Xunta de Galicia//ED431F 2020%2F04
dc.relation.publisherversionhttps://doi.org/10.1007/s00031-025-09927-x
dc.rightsThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licen ses/by/4.0
dc.rightsAttribution 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectAmbrose-Singer theorem
dc.subjectCohomogeneity one actions
dc.subjectCanonical connection
dc.subject.classification12 Matemáticas
dc.titleThe Ambrose-Singer theorem for cohomogeneity one Riemannian manifolds
dc.typejournal article
dc.type.hasVersionVoR
dspace.entity.typePublication
relation.isAuthorOfPublicationff9821f3-50bb-45a9-b5f6-2087f5eb9f9e
relation.isAuthorOfPublication.latestForDiscoveryff9821f3-50bb-45a9-b5f6-2087f5eb9f9e

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
The Ambrose Singer Theorem for cohomogeneity one Riemannian manifolds.pdf
Size:
6.21 MB
Format:
Adobe Portable Document Format
Download

Collections

Matemáticas