3 papers
math.DG2026
Polar homogeneous foliations on symmetric spaces of rank one
José Carlos DÃaz-Ramos, Juan Manuel Lorenzo-Naveiro
We classify polar homogeneous foliations on rank one symmetric spaces of noncompact type up to orbit equivalence.
math.DG2024
The Ambrose-Singer Theorem for cohomogeneity one Riemannian manifolds
José Luis Carmona Jiménez, Marco Castrillón López, José Carlos DÃaz-Ramos
We characterize isometric actions whose principal orbits are hypersurfaces through the existence of a linear connection satisfying a set of covariant equations in the same spirit a…
math.DG2024
Codimension two polar homogeneous foliations on symmetric spaces of noncompact type
José Carlos DÃaz-Ramos, Juan Manuel Lorenzo-Naveiro
We classify homogeneous polar foliations of codimension two on irreducible symmetric spaces of noncompact type up to orbit equivalence. Any such foliation is either hyperpolar or t…