I. Zubareva

activity

20142026

most cited(Locally) shortest arcs of special sub-Riemannian metric on the Lie group SO(3)

7 citations · 10 across the 14 of their papers we have counts for

collaborators

Showing 2014Show all

4 papers · 1 filter

math.DG2014★ 2 cited

Sub-Riemannian distance on Lie groups $S U (2)$ and $S O (3)$

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 $ρ$ and $d$ . To compute distances for the s…

math.DG2014★ 7 cited

(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…

math.DG2014

(Locally) shortest arcs of special sub-Riemannian metric on the Lie group $S O_{0} (2, 1)$

Valera Berestovskii

The author finds geodesics, shortest arcs, cut locus, and conjugate sets for left-invariant sub-Riemannian metric on the Lie group $S O_{0} (2, 1)$ under the condition that the metric i…

math.DG2014

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.

Sub-Riemannian distance on Lie groups SU(2) and SO(3)

(Locally) shortest arcs of special sub-Riemannian metric on the Lie group SO(3)

(Locally) shortest arcs of special sub-Riemannian metric on the Lie group SO0​(2,1)

Correct observer's event horizon in de Sitter space-time

Sub-Riemannian distance on Lie groups $S U (2)$ and $S O (3)$

(Locally) shortest arcs of special sub-Riemannian metric on the Lie group $S O_{0} (2, 1)$