7 citations · 14 across the 16 of their papers we have counts for
5 papers · 2 filters
Locally compact homogeneous spaces with inner metric
V. N. Berestovskii
The author reviews his results on locally compact homogeneous spaces with inner metric, in particular, homogeneous manifolds with inner metric. The latter are isometric to homogene…
Sub-Riemannian distance on Lie groups and
V. Berestovskii, I. Zubareva
The authors compute distances between arbitrary elements of Lie groups SU(2) and SO(3) for special left-invariant sub-Riemannian metrics and . To compute distances for the s…
(Locally) shortest arcs of special sub-Riemannian metric on the Lie group SO(3)
Valera Berestovskii, Irina Zubareva
The authors find geodesics, shortest arcs, diameter, cut locus, and conjugate sets for left-invariant sub-Riemannian metric on the Lie group SO(3), under condition that the metric…
(Locally) shortest arcs of special sub-Riemannian metric on the Lie group
Valera Berestovskii
The author finds geodesics, shortest arcs, cut locus, and conjugate sets for left-invariant sub-Riemannian metric on the Lie group under the condition that the metric i…
Correct observer's event horizon in de Sitter space-time
Valera Berestovskii, Irina Zubareva
A correct description of the past and the future event horizons for timelike geodesics in de Sitter space-time of the first kind is given.