3 papers
math.DG2026
Geodesic orbit pseudo-Riemannian -type nilmanifolds
Kenro Furutani, Irina Markina, Yurii Nikonorov
A pseudo-Riemannian manifold is called geodesic orbit (GO) if every geodesic is an orbit of a one-parameter group of isometries. For Riemannian -type groups, the GO property was…
math.DG2026
Homogeneous spaces with geodesic orbit Riemannian metrics and with integrable invariant distributions
V. N. Berestovskii, Yu. G. Nikonorov
We consider two types of homogeneous spaces of Lie groups with compact stabilizer subgroups: those with integrable invariant distributions and those for which all invariant Riemann…
math.MG2024
On -point homogeneous polyhedra in -dimensional Euclidean space
V. N. Berestovskii, Yu. G. Nikonorov
This paper is devoted to the study of the -point homogeneity property for the vertex sets of polytopes in Euclidean spaces. In particular, we present the classifications of -…