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oai:docta.ucm.es:20.500.14352/1080052025-10-10T00:13:55Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Carmona Jiménez, José Luis author Castrillón López, Marco author Díaz Ramos, J.C. author 2025 We characterize isometric actions when the principal orbits are hypersurfaces by the existence of a linear connection satisfying a set of covariant equations. We use this results to characterize isomorphic cohomogeneity one foliations in terms of these connections and give explicit examples of these objects in the Euclidean space and the real hyperbolic space. Carmona 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 https://hdl.handle.net/20.500.14352/108005 https://doi.org/10.1007/s00031-025-09927-x The Ambrose-Singer Theorem for cohomogeneity one Riemannian manifolds