RT Journal Article
T1 The Ambrose-Singer theorem for cohomogeneity one Riemannian manifolds
A1 Carmona Jiménez, José Luis
A1 Castrillón López, Marco
A1 Díaz Ramos, José Carlos
K1 Ambrose-Singer theorem
K1 Cohomogeneity one actions
K1 Canonical connection
AB 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.
PB Springer
SN 1083-4362
YR 2025
FD 2025-07-23
LK https://hdl.handle.net/10347/43989
UL https://hdl.handle.net/10347/43989
LA eng
NO 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
DS Minerva
RD 24 abr 2026