15 citations · 22 across the 8 of their papers we have counts for
7 papers · 1 filter
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 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…
The classification of -homogeneous Riemannian manifolds with positive Euler characteristic
V. N. Berestovskii, E. V. Nikitenko, Yu. G. Nikonorov
The authors give a short survey of previous results on -homogeneous Riemannian manifolds, forming a new proper subclass of geodesic orbit spaces with non-negative sectional curv…
Clifford-Wolf homogeneous Riemannian manifolds
V. N. Berestovskii, Yu. G. Nikonorov
In this paper, using connections between Clifford-Wolf isometries and Killing vector fields of constant length on a given Riemannian manifold, we classify simply connected Clifford…