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
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
SN 1531-586X
YR 2025
FD 2025
LK https://hdl.handle.net/20.500.14352/132710
UL https://hdl.handle.net/20.500.14352/132710
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
NO 2025 Acuerdos Transformativos CRUE
DS Docta Complutense
RD 9 abr 2026