5 papers
Coisotropy-one homogeneous spacetimes I: (3,2)-Kinematical Lie algebras with
José Miguel Figueroa-O'Farrill, Juan Manuel Lorenzo-Naveiro
This is the first of several papers devoted to the classification of coisotropy-one homogeneous spacetimes. It is the first step in extending the classification of spatially isotro…
Polar homogeneous foliations on symmetric spaces of rank one
José Carlos Díaz-Ramos, Juan Manuel Lorenzo-Naveiro
We classify polar homogeneous foliations on rank one symmetric spaces of noncompact type up to orbit equivalence.
Totally geodesic submanifolds of the homogeneous nearly Kähler 6-manifolds and their G2-cones
Juan Manuel Lorenzo-Naveiro, Alberto Rodríguez-Vázquez
In this article we classify totally geodesic submanifolds of homogeneous nearly Kähler 6-manifolds, and of the G2-cones over these 6-manifolds. To this end, we develop new techniqu…
Codimension two polar homogeneous foliations on symmetric spaces of noncompact type
José Carlos Díaz-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…
Sections of polar actions
Juan Manuel Lorenzo-Naveiro, Ivan Solonenko
In this short note we provide an elementary proof of the folklore result in the theory of isometric Lie group actions on Riemannian manifolds asserting that sections of polar actio…