15 citations · 22 across the 8 of their papers we have counts for
9 papers
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…
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 -…
On -point homogeneous polytopes in Euclidean spaces
Valerii N. Berestovskii, Yurii G. Nikonorov
This paper is devoted to the study the -point homogeneity property and the point homogeneity degree for finite metric spaces. Since the vertex sets of regular polytopes, as well…
On homogeneous geodesics and weakly symmetric spaces
V. N. Berestovskii, Yu. G. Nikonorov
In this paper, we establish a sufficient condition for a geodesic in a Riemannian manifold to be homogeneous, i.e. an orbit of an -parameter isometry group. As an application of…
On curvatures of homogeneous sub-Riemannian manifolds
Valerii Berestovskii
The author discusses in some detail the old definitions of the curvature tensors for rigged metrized distributions on manifolds given by Schouten, Wagner, and Solov'ev. To calculat…
Generalized normal homogeneous Riemannian metrics on spheres and projective spaces
V. N. Berestovskii, Yu. G. Nikonorov
In this paper we develop new methods of study of generalized normal homogeneous Riemannian manifolds. In particular, we obtain a complete classification of generalized normal homog…