2026-08-22T00:38:04Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/1327102026-02-24T01:12:21Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Carmona Jiménez, José Luis
author
Castrillón López, Marco
author
Díaz Ramos, José Carlos
2026-02-19T13:10:23Z
2026-02-19T13:10:23Z
2025
Carmona Jiménez, J.L., Castrillón López, M. & Díaz-Ramos, J.C. The Ambrose-Singer Theorem for Cohomogeneity One Riemannian Manifolds. Transformation Groups. 2025
1083-43621531-586X
10.1007/s00031-025-09927-x
https://hdl.handle.net/20.500.14352/132710
We 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.
eng
Attribution-NonCommercial-NoDerivatives 4.0 International
The Ambrose-Singer Theorem for Cohomogeneity One Riemannian Manifolds
journal article
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URL
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File
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d42a88f74df5a7ba4d8c09589c8f0a89
6508759
application/pdf
castrillon_ambrose.pdf